3m+7=4m-14

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Solution for 3m+7=4m-14 equation:


Simplifying
3m + 7 = 4m + -14

Reorder the terms:
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 = -1m
7 + -1m = -14 + 4m + -4m

Combine like terms: 4m + -4m = 0
7 + -1m = -14 + 0
7 + -1m = -14

Add '-7' to each side of the equation.
7 + -7 + -1m = -14 + -7

Combine like terms: 7 + -7 = 0
0 + -1m = -14 + -7
-1m = -14 + -7

Combine like terms: -14 + -7 = -21
-1m = -21

Divide each side by '-1'.
m = 21

Simplifying
m = 21

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