2m+7=6m-1

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Solution for 2m+7=6m-1 equation:


Simplifying
2m + 7 = 6m + -1

Reorder the terms:
7 + 2m = 6m + -1

Reorder the terms:
7 + 2m = -1 + 6m

Solving
7 + 2m = -1 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
7 + 2m + -6m = -1 + 6m + -6m

Combine like terms: 2m + -6m = -4m
7 + -4m = -1 + 6m + -6m

Combine like terms: 6m + -6m = 0
7 + -4m = -1 + 0
7 + -4m = -1

Add '-7' to each side of the equation.
7 + -7 + -4m = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -4m = -1 + -7
-4m = -1 + -7

Combine like terms: -1 + -7 = -8
-4m = -8

Divide each side by '-4'.
m = 2

Simplifying
m = 2

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