Math

QuestionSolve for mm in the equation: 3m=5(m+3)33 m=5(m+3)-3.

Studdy Solution

STEP 1

Assumptions1. The equation given is 3m=5(m+3)33m=5(m+3)-3 . We are solving for the variable mm

STEP 2

First, we need to distribute the5 on the right side of the equation.
m=5m+15m =5m +15 -

STEP 3

implify the right side of the equation.
3m=5m+123m =5m +12

STEP 4

To isolate mm, we need to get all terms with mm on one side of the equation and the constants on the other side. We can do this by subtracting mm from both sides of the equation.
3mm=mm+123m -m =m -m +12

STEP 5

implify both sides of the equation.
2m=12-2m =12

STEP 6

To solve for mm, we need to divide both sides of the equation by 2-2.
2m2=122\frac{-2m}{-2} = \frac{12}{-2}

STEP 7

implify both sides of the equation to find the value of mm.
m=6m = -6So, mm equals 6-6.

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