what is the solution to -(6m + 8) = 4(17 - m)? record your answer and fill in the bubbles on your answer…

what is the solution to -(6m + 8) = 4(17 - m)? record your answer and fill in the bubbles on your answer document.

what is the solution to -(6m + 8) = 4(17 - m)? record your answer and fill in the bubbles on your answer document.

Answer

Explanation:

Step1: Expand both sides

First, expand the left - hand side: $-(6m + 8)=-6m-8$. Expand the right - hand side: $4(17 - m)=68-4m$. So the equation becomes $-6m - 8=68-4m$.

Step2: Move terms with m to one side

Add $6m$ to both sides of the equation: $-6m + 6m-8=68-4m + 6m$. This simplifies to $-8=68 + 2m$.

Step3: Isolate the term with m

Subtract 68 from both sides: $-8-68=68-68 + 2m$. We get $-76 = 2m$.

Step4: Solve for m

Divide both sides by 2: $\frac{-76}{2}=\frac{2m}{2}$. So $m=-38$.

Answer:

$m = - 38$