2m+6=10m+14

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Solution for 2m+6=10m+14 equation:


Simplifying
2m + 6 = 10m + 14

Reorder the terms:
6 + 2m = 10m + 14

Reorder the terms:
6 + 2m = 14 + 10m

Solving
6 + 2m = 14 + 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 + 2m + -10m = 14 + 10m + -10m

Combine like terms: 2m + -10m = -8m
6 + -8m = 14 + 10m + -10m

Combine like terms: 10m + -10m = 0
6 + -8m = 14 + 0
6 + -8m = 14

Add '-6' to each side of the equation.
6 + -6 + -8m = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -8m = 14 + -6
-8m = 14 + -6

Combine like terms: 14 + -6 = 8
-8m = 8

Divide each side by '-8'.
m = -1

Simplifying
m = -1

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