3m+6=7m-14

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Solution for 3m+6=7m-14 equation:


Simplifying
3m + 6 = 7m + -14

Reorder the terms:
6 + 3m = 7m + -14

Reorder the terms:
6 + 3m = -14 + 7m

Solving
6 + 3m = -14 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
6 + 3m + -7m = -14 + 7m + -7m

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

Combine like terms: 7m + -7m = 0
6 + -4m = -14 + 0
6 + -4m = -14

Add '-6' to each side of the equation.
6 + -6 + -4m = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -4m = -14 + -6
-4m = -14 + -6

Combine like terms: -14 + -6 = -20
-4m = -20

Divide each side by '-4'.
m = 5

Simplifying
m = 5

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