Write “the sum of an unknown and 6, when divided by 15, is equal to 7” as an equation, using r as the variable.
\begin{matrix}^{\mathbf{The\ sum\ of\ an}}_{\mathbf{unknown\ and\ 6}} & ^{\mathbf{when\ divided}}_{\mathbf{\ \ \ \ \ \ \ \ \ by\ 15}}& ^{\mathbf{\ \ \ \ \ \ is}}_{\mathbf{equal\ to}}& ^{}_{\mathbf{7.}} \\ \mathbf{\downarrow} & \ \ \ \mathbf{\downarrow} & \mathbf{\downarrow} & \mathbf{\downarrow} \\ (r + 6) & \div 15&= &7 \end{matrix}
Simplify and solve the equation.
(r + 6) ÷ 15 = 7
(r + 6) ÷ 15 • 15 = 7 • 15 Multiply both sides by 15.
r + 6 = 105
r + 6 – 6 = 105 – 6 Subtract 6 from both sides.
r = 99