2m+107=6m+m+71

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Solution for 2m+107=6m+m+71 equation:


Simplifying
2m + 107 = 6m + m + 71

Reorder the terms:
107 + 2m = 6m + m + 71

Reorder the terms:
107 + 2m = 71 + 6m + m

Combine like terms: 6m + m = 7m
107 + 2m = 71 + 7m

Solving
107 + 2m = 71 + 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.
107 + 2m + -7m = 71 + 7m + -7m

Combine like terms: 2m + -7m = -5m
107 + -5m = 71 + 7m + -7m

Combine like terms: 7m + -7m = 0
107 + -5m = 71 + 0
107 + -5m = 71

Add '-107' to each side of the equation.
107 + -107 + -5m = 71 + -107

Combine like terms: 107 + -107 = 0
0 + -5m = 71 + -107
-5m = 71 + -107

Combine like terms: 71 + -107 = -36
-5m = -36

Divide each side by '-5'.
m = 7.2

Simplifying
m = 7.2

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