Now (E) – (D): $ (9a - 6a) + (b - b) = 1 - 1 $ → $ 3a = 0 $ → $ a = 0 $

["SEO Optimized Article: Solving the Algebraic Equation (E) (D) = $ 3a = 0 $ — How to Simplify and Solve Step by Step", "---", "### Understanding the Equation: $ (9a - 6a) + (b - b) = 1 - 1 \Rightarrow 3a = 0 \Rightarrow a = 0 $", "Algebra is the foundation of mathematical reasoning, and solving equations step-by-step is essential for mastering algebra. One recurring structure that students often encounter is expressions involving variables like a and b combined in ways that seem complex at first but simplify neatly. Let’s dive into a clear breakdown of how the expression\n$$\n(9a - 6a) + (b - b) = 1 - 1 \Rightarrow 3a = 0 \Rightarrow a = 0\n$$\nis solved, explaining not just the steps but the logic behind each move.", "---", "### Step 1: Simplify Each Side of the Equation", "Start by simplifying both sides of the equation individually:", "- Left side:\n $$\n (9a - 6a) + (b - b)\n $$\n Combine like terms:\n $$\n (9 - 6)a + (1 - 1)b = 3a + 0b = 3a\n $$", "- Right side:\n $$\n 1 - 1 = 0\n $$", "After simplification, the equation becomes:\n$$\n3a = 0\n$$", "---", "### Step 2: Solve for Variable a", "With $ 3a = 0 $, isolate a by dividing both sides by 3:\n$$\na = \frac{0}{3} = 0\n$$", "This gives the final result:\n$$\na = 0\n$$", "Importantly, note that the variable b disappears during simplification due to $ b - b = 0 $, meaning its value has no effect on the solution — a is fully determined on its own.", "---", "### Why This Equation Matters", "Equations like this reinforce key algebraic principles:", "- Combining like terms reduces complexity and reveals clear solutions.\n- Simplifying expressions removes unnecessary variables or constants.\n- Isolating variables via applying inverse operations is a fundamental problem-solving skill.", "Such problems prepare learners for more advanced algebra, including systems of equations, functions, and real-world modeling.", "---", "### Final Verdict: What Is the Conclusion?", "From the equation:\n$$\n(9a - 6a) + (b - b) = 1 - 1 \Rightarrow 3a = 0 \Rightarrow a = 0\n$$\nwe determine that:\n- Simplification leads logically from basic arithmetic to isolation of a.\n- The result $ a = 0 $ is concise and definitive.\n- Understanding this process builds confidence for tackling algebraic reasoning challenges.", "---", "### Key Takeaways for Students and Learners\n- Always simplify each side of an equation before solving.\n- Watch for cancellation when terms are identical with opposite signs, like $ b - b $.\n- Remember that constants like $ 1 - 1 $ always equal zero.\n- Isolating variables is the core of solving linear equations.", "Master these steps, practice similar problems, and watch your algebraic fluency grow!", "---", "Keywords for SEO:\nalgebra equation solving, linear equations, step-by-step algebra, simplify expressions, solve for a, algebraic reasoning, math tutorial, equilibrium expression, cancel terms algebra, basic algebra tutorial", "---", "Meta Description:\nLearn how to solve $ (9a - 6a) + (b - b) = 1 - 1 $ step-by-step. Discover why $ a = 0 $ is the final answer through combining like terms and isolating variables. Perfect for algebra beginners.", "---", "Understanding these fundamentals unlocks stronger problem-solving skills — start practicing today!"]