Question

review solving multistep equations
stephanie ratermann
solving multi-step equations
distribute?, combine like terms?, variables on both sides?, and solve
ex) -9(m - 2) + 7m = -10
-9m + 18 + 7m = -10
-2m + 18 = -10
-18 -18
-2m = -28
-2m / -2 = -28 / -2
m =
multiple-choice question
what does m equal?

Explanation:

Step1: Simplify the equation

Start with the equation \(-9(m - 2)+7m=-10\). Distribute the \(-9\) into the parentheses: \(-9\times m+(-9)\times(-2)+7m = -10\), which simplifies to \(-9m + 18+7m=-10\).

Step2: Combine like terms

Combine the \(m\)-terms: \(-9m+7m=-2m\), so the equation becomes \(-2m + 18=-10\).

Step3: Isolate the variable term

Subtract 18 from both sides: \(-2m+18 - 18=-10 - 18\), which simplifies to \(-2m=-28\).

Step4: Solve for \(m\)

Divide both sides by \(-2\): \(\frac{-2m}{-2}=\frac{-28}{-2}\), so \(m = 14\).

Answer:

\(m = 14\)