6m-4+10=3m-12-3

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Solution for 6m-4+10=3m-12-3 equation:


Simplifying
6m + -4 + 10 = 3m + -12 + -3

Reorder the terms:
-4 + 10 + 6m = 3m + -12 + -3

Combine like terms: -4 + 10 = 6
6 + 6m = 3m + -12 + -3

Reorder the terms:
6 + 6m = -12 + -3 + 3m

Combine like terms: -12 + -3 = -15
6 + 6m = -15 + 3m

Solving
6 + 6m = -15 + 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.
6 + 6m + -3m = -15 + 3m + -3m

Combine like terms: 6m + -3m = 3m
6 + 3m = -15 + 3m + -3m

Combine like terms: 3m + -3m = 0
6 + 3m = -15 + 0
6 + 3m = -15

Add '-6' to each side of the equation.
6 + -6 + 3m = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 3m = -15 + -6
3m = -15 + -6

Combine like terms: -15 + -6 = -21
3m = -21

Divide each side by '3'.
m = -7

Simplifying
m = -7

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