8m+7=5m-2

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Solution for 8m+7=5m-2 equation:


Simplifying
8m + 7 = 5m + -2

Reorder the terms:
7 + 8m = 5m + -2

Reorder the terms:
7 + 8m = -2 + 5m

Solving
7 + 8m = -2 + 5m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-5m' to each side of the equation.
7 + 8m + -5m = -2 + 5m + -5m

Combine like terms: 8m + -5m = 3m
7 + 3m = -2 + 5m + -5m

Combine like terms: 5m + -5m = 0
7 + 3m = -2 + 0
7 + 3m = -2

Add '-7' to each side of the equation.
7 + -7 + 3m = -2 + -7

Combine like terms: 7 + -7 = 0
0 + 3m = -2 + -7
3m = -2 + -7

Combine like terms: -2 + -7 = -9
3m = -9

Divide each side by '3'.
m = -3

Simplifying
m = -3

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