4m+6=7m+12

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Solution for 4m+6=7m+12 equation:


Simplifying
4m + 6 = 7m + 12

Reorder the terms:
6 + 4m = 7m + 12

Reorder the terms:
6 + 4m = 12 + 7m

Solving
6 + 4m = 12 + 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.
6 + 4m + -7m = 12 + 7m + -7m

Combine like terms: 4m + -7m = -3m
6 + -3m = 12 + 7m + -7m

Combine like terms: 7m + -7m = 0
6 + -3m = 12 + 0
6 + -3m = 12

Add '-6' to each side of the equation.
6 + -6 + -3m = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -3m = 12 + -6
-3m = 12 + -6

Combine like terms: 12 + -6 = 6
-3m = 6

Divide each side by '-3'.
m = -2

Simplifying
m = -2

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