Arthur writes the equation a = 10 b - 7. He wants to rewrite it in terms of b. In Arthur's first step, what value should he add to both sides of the equation?

Question

Arthur writes the equation a = 10 b - 7. He wants to rewrite it in terms of b. In Arthur's first step, what value should he add to both sides of the equation?
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GPT-4o mini · Answer

To rewrite the equation $ a = 10b - 7 $ in terms of $ b $, Arthur should first aim to isolate the term that involves $ b $. The first step is to eliminate the $-7$ on the right side of the equation. To do this, he should add $ 7 $ to both sides of the equation. So, he should add $ 7 $ to both sides: $$ a + 7 = 10b - 7 + 7 $$ This simplifies to: $$ a + 7 = 10b $$ Thus, the value Arthur should add to both sides of the equation is $ 7 $.