["Sure! Below is an SEO-optimized article based on the step-by-step algebra problem ( 2a - d = 10 \Rightarrow 2a - 6 = 10 \Rightarrow 2a = 16 \Rightarrow a = 8 ), designed to rank well for searches like "how to solve linear equations step-by-step" and "how to isolate a variable in algebra."", "---", "# Solving Linear Equations: Step-by-Step Guide to ( 2a - d = 10 \Rightarrow a = 8 )", "Understanding how to solve linear equations is a foundational skill in algebra. Many students struggle with isolating variables, especially when multiple variables are involved. In this article, we’ll walk through a specific example: solving ( 2a - d = 10 ) step by step to find ( a = 8 ) when ( d = 6 ), helping you master key algebra techniques that apply to countless real-world and academic problems.", "---", "## The Equation: ( 2a - d = 10 )", "To solve for ( a ), we must isolate it on one side of the equation. In many problems, ( d ) is given to simplify the process — for example, when ( d = 6 ). Here’s how the logic unfolds:", "---", "## Step 1: Substitute ( d = 6 )", "Replace ( d ) with 6 in the original equation:
\n[
\n2a - d = 10 \Rightarrow 2a - 6 = 10
\n]", "By replacing the variable with a known value, we reduce uncertainty and isolate the term containing ( a ).", "---", "## Step 2: Add 6 to both sides to eliminate the constant", "To isolate ( 2a ), add 6 to both sides:
\n[
\n2a - 6 + 6 = 10 + 6
\n]
\n[
\n2a = 16
\n]", "This step simplifies the left-hand side, leaving only the coefficient of ( a ).", "---", "## Step 3: Divide by 2 to solve for ( a )", "To find ( a ), divide both sides by 2:
\n[
\n\frac{2a}{2} = \frac{16}{2}
\n]
\n[
\na = 8
\n]", "---", "## Final Answer: ( a = 8 )", "Thus, when ( d = 6 ), the equation ( 2a - d = 10 ) simplifies to ( a = 8 ). This straightforward method showcases how combining like terms, using inverse operations, and substitution enable us to solve for variables efficiently.", "---", "## Why This Method Works in Algebra", "Solving equations step-by-step not only unveils the value of one variable but also strengthens logical reasoning and problem-solving skills. Mastering these fundamentals prepares students for more advanced topics, such as systems of equations, quadratic equations, and real-world applications in science, engineering, and finance.", "---", "## Practice Tips:", "- Try similar problems by changing the value of ( d ) to see how the equations transform.
\n- Practice isolating other variables to build fluency with inverse operations.
\n- Use visual aids or algebraically manipulate graphs to reinforce understanding.", "---", "### Key Keywords:

linearequations, #solvingequations, #algebra, #isolatevariable, #stepbystepmath, #solvefora, #algebra101, #mathtips, #equations, #stepbystepalgebra, #mathproblem, #2a-d=10, #a=8", "---", "By breaking down the process clearly and explaining each transformation, this article supports learners at all levels to confidently solve linear equations — no matter variables appear.", "---", "If you found this explanation helpful, share it with classmates or bookmark it for future algebra practice!

---", "### SEO Optimization Summary:
\n- Targets common student queries about isolating variables.
\n- Uses real example with step-by-step breakdown.
\n- Incorporates orthogonal keywords (linear equations, solving algebra, isolate variable).
\n- Organized with headers for readability and SEO.
\n- Encourages engagement and further learning.", "---", "Let me know if you'd like a version formatted for WordPress or Blogger, or need a concise version for social media!"]