7m+10=3m-12

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Solution for 7m+10=3m-12 equation:


Simplifying
7m + 10 = 3m + -12

Reorder the terms:
10 + 7m = 3m + -12

Reorder the terms:
10 + 7m = -12 + 3m

Solving
10 + 7m = -12 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
10 + 7m + -3m = -12 + 3m + -3m

Combine like terms: 7m + -3m = 4m
10 + 4m = -12 + 3m + -3m

Combine like terms: 3m + -3m = 0
10 + 4m = -12 + 0
10 + 4m = -12

Add '-10' to each side of the equation.
10 + -10 + 4m = -12 + -10

Combine like terms: 10 + -10 = 0
0 + 4m = -12 + -10
4m = -12 + -10

Combine like terms: -12 + -10 = -22
4m = -22

Divide each side by '4'.
m = -5.5

Simplifying
m = -5.5

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