2m+7=8m-105

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Solution for 2m+7=8m-105 equation:


Simplifying
2m + 7 = 8m + -105

Reorder the terms:
7 + 2m = 8m + -105

Reorder the terms:
7 + 2m = -105 + 8m

Solving
7 + 2m = -105 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
7 + 2m + -8m = -105 + 8m + -8m

Combine like terms: 2m + -8m = -6m
7 + -6m = -105 + 8m + -8m

Combine like terms: 8m + -8m = 0
7 + -6m = -105 + 0
7 + -6m = -105

Add '-7' to each side of the equation.
7 + -7 + -6m = -105 + -7

Combine like terms: 7 + -7 = 0
0 + -6m = -105 + -7
-6m = -105 + -7

Combine like terms: -105 + -7 = -112
-6m = -112

Divide each side by '-6'.
m = 18.66666667

Simplifying
m = 18.66666667

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