Question

-9(m + 3) + 14 = -49

Explanation:

Step1: Simplify the left side

First, we expand \(-9(m + 3)\) using the distributive property \(a(b + c)=ab+ac\). So \(-9(m + 3)=-9m-27\). Then the equation becomes \(-9m - 27+14=-49\). Combine like terms: \(-9m-13 = - 49\).

Step2: Isolate the variable term

Add 13 to both sides of the equation to get \(-9m-13 + 13=-49 + 13\). Simplifying both sides gives \(-9m=-36\).

Step3: Solve for m

Divide both sides by \(-9\): \(\frac{-9m}{-9}=\frac{-36}{-9}\). So \(m = 4\).

Answer:

\(m = 4\)