Question

solve for m.
-6m = -9(2m - 4)
m =

Explanation:

Step1: Expand the right side

Using the distributive property \(a(b - c)=ab - ac\), we have \(-9(2m - 4)=-9\times2m-(-9)\times4=-18m + 36\). So the equation becomes \(-6m=-18m + 36\).

Step2: Add \(18m\) to both sides

Adding \(18m\) to both sides of the equation \(-6m=-18m + 36\) gives \(-6m+18m=-18m + 36+18m\). Simplifying the left side: \(-6m + 18m = 12m\), and the right side: \(-18m+18m + 36=36\). So we get \(12m = 36\).

Step3: Divide both sides by 12

Dividing both sides of the equation \(12m = 36\) by 12, we have \(\frac{12m}{12}=\frac{36}{12}\). Simplifying, we get \(m = 3\).

Answer:

\(m = 3\)