Question

Solve: −6(r−2)−12=30

Answer 1

In order to solve this equation, we need to use the distributive property of multiplication:

$a(b+c)=a\cdot b+a\cdot c$

Then, we can do the following steps to solve for r:

$\begin{gathered} -6(r-2)-12=30\\ \\ -6r-6\cdot(-2)=30+12\\ \\ -6r+12=30+12\\ \\ -6r=30\\ \\ r=\frac{30}{-6}\\ \\ r=-5 \end{gathered}$

Therefore the solution is r = -5.