Question

-3(4r-8)=-36 solve for r without using distributive property

Answer 1

To solve the equation \(-3(4r - 8) = -36\) without using the distributive property, we can begin by dividing both sides of the equation by \(-3\). This eliminates the \(-3\) in front of the parentheses.

\[
\frac{-3(4r - 8)}{-3} = \frac{-36}{-3}
\]

This simplifies to:

\[
4r - 8 = 12
\]

Next, we can isolate \(4r\) by adding \(8\) to both sides of the equation:

\[
4r - 8 + 8 = 12 + 8
\]

This simplifies to:

\[
4r = 20
\]

Now, we divide both sides by \(4\) to solve for \(r\):

\[
r = \frac{20}{4}
\]

This simplifies to:

\[
r = 5
\]

Thus, the solution is:

\[
\boxed{5}
\]