3m+5-6m+2=4m-14

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Solution for 3m+5-6m+2=4m-14 equation:


Simplifying
3m + 5 + -6m + 2 = 4m + -14

Reorder the terms:
5 + 2 + 3m + -6m = 4m + -14

Combine like terms: 5 + 2 = 7
7 + 3m + -6m = 4m + -14

Combine like terms: 3m + -6m = -3m
7 + -3m = 4m + -14

Reorder the terms:
7 + -3m = -14 + 4m

Solving
7 + -3m = -14 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
7 + -3m + -4m = -14 + 4m + -4m

Combine like terms: -3m + -4m = -7m
7 + -7m = -14 + 4m + -4m

Combine like terms: 4m + -4m = 0
7 + -7m = -14 + 0
7 + -7m = -14

Add '-7' to each side of the equation.
7 + -7 + -7m = -14 + -7

Combine like terms: 7 + -7 = 0
0 + -7m = -14 + -7
-7m = -14 + -7

Combine like terms: -14 + -7 = -21
-7m = -21

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

Simplifying
m = 3

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