2m+3=6m+7

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Solution for 2m+3=6m+7 equation:


Simplifying
2m + 3 = 6m + 7

Reorder the terms:
3 + 2m = 6m + 7

Reorder the terms:
3 + 2m = 7 + 6m

Solving
3 + 2m = 7 + 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.
3 + 2m + -6m = 7 + 6m + -6m

Combine like terms: 2m + -6m = -4m
3 + -4m = 7 + 6m + -6m

Combine like terms: 6m + -6m = 0
3 + -4m = 7 + 0
3 + -4m = 7

Add '-3' to each side of the equation.
3 + -3 + -4m = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -4m = 7 + -3
-4m = 7 + -3

Combine like terms: 7 + -3 = 4
-4m = 4

Divide each side by '-4'.
m = -1

Simplifying
m = -1

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