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Question Solve for mm in the equation 12.6+4m=9.6+8m12.6+4m=9.6+8m.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation 12.6+4m=9.6+8m12.6 + 4m = 9.6 + 8m.
2. We need to solve for the variable mm.

STEP 2

To solve for mm, we need to isolate mm on one side of the equation. We can start by subtracting 4m4m from both sides of the equation to move the terms involving mm to one side.
12.6+4m−4m=9.6+8m−4m12.6 + 4m - 4m = 9.6 + 8m - 4m

STEP 3

Simplify both sides of the equation by combining like terms.
12.6=9.6+4m12.6 = 9.6 + 4m

STEP 4

Now, subtract 9.69.6 from both sides of the equation to move the constant terms to one side.
12.6−9.6=9.6−9.6+4m12.6 - 9.6 = 9.6 - 9.6 + 4m

STEP 5

Simplify both sides of the equation by combining like terms.
3.0=4m3.0 = 4m

STEP 6

To solve for mm, divide both sides of the equation by 44.
3.04=4m4\frac{3.0}{4} = \frac{4m}{4}

STEP 7

Simplify both sides of the equation.
m=3.04m = \frac{3.0}{4}

STEP 8

Calculate the value of mm.
m=0.75m = 0.75
The solution for mm is 0.750.75.

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