Algebra 1: Common Core (15th Edition)

We first subtract 1 on both sides to obtain that $-1/9 a \lt 7$. In order to cancel out a fraction that is being multiplied by a variable, we multiply by the reciprocal of the fraction. Thus, we multiply both sides of the inequality by -9/1 to obtain that $a \gt -63$. Because we multiply by a negative, we flip the inequality sign.