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QuestionSolve for mm in the equation: −7(6+4m)=−8m+38-7(6+4 m)=-8 m+38.

Studdy Solution

STEP 1

Assumptions1. The given equation is −7(6+4m)=−8m+38-7(6+4m) = -8m +38 . We are required to solve for mm

STEP 2

First, we need to distribute the −7-7 across the terms in the parentheses on the left side of the equation.
−7(6+4m)=−42−28m-7(6+4m) = -42 -28mSo, the equation becomes−42−28m=−8m+38-42 -28m = -8m +38

STEP 3

Next, we will group the terms with mm on one side of the equation and the constant terms on the other side. We can do this by adding 28m28m to both sides and subtracting 3838 from both sides.
−42−28m+28m+38=−8m+38+28m−38-42 -28m +28m +38 = -8m +38 +28m -38

STEP 4

implify both sides of the equation.
−4=20m-4 =20m

STEP 5

Finally, we can solve for mm by dividing both sides of the equation by 2020.
m=−4/20m = -4 /20

STEP 6

implify the right side of the equation to find the value of mm.
m=−0.2m = -0.2So, the solution to the equation −(6+4m)=−8m+38-(6+4m) = -8m +38 is m=−0.2m = -0.2.

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