6m-14=2m+16

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Solution for 6m-14=2m+16 equation:


Simplifying
6m + -14 = 2m + 16

Reorder the terms:
-14 + 6m = 2m + 16

Reorder the terms:
-14 + 6m = 16 + 2m

Solving
-14 + 6m = 16 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-14 + 6m + -2m = 16 + 2m + -2m

Combine like terms: 6m + -2m = 4m
-14 + 4m = 16 + 2m + -2m

Combine like terms: 2m + -2m = 0
-14 + 4m = 16 + 0
-14 + 4m = 16

Add '14' to each side of the equation.
-14 + 14 + 4m = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 4m = 16 + 14
4m = 16 + 14

Combine like terms: 16 + 14 = 30
4m = 30

Divide each side by '4'.
m = 7.5

Simplifying
m = 7.5

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