4m+6=10m-12

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


Simplifying
4m + 6 = 10m + -12

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

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

Solving
6 + 4m = -12 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
6 + 4m + -10m = -12 + 10m + -10m

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

Combine like terms: 10m + -10m = 0
6 + -6m = -12 + 0
6 + -6m = -12

Add '-6' to each side of the equation.
6 + -6 + -6m = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -6m = -12 + -6
-6m = -12 + -6

Combine like terms: -12 + -6 = -18
-6m = -18

Divide each side by '-6'.
m = 3

Simplifying
m = 3

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