To rewrite the equation \( a = 10b - 7 \) in terms of \( b \), Arthur can first isolate the term involving \( b \). The first step would involve eliminating the \(-7\) on the right side of the equation.
To do this, he should add \( 7 \) to both sides of the equation.
Adding \( 7 \) gives:
\[ a + 7 = 10b \]
So, in Arthur's first step, he should add \( 7 \) to both sides of the equation.