3m+12=10m+40

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Solution for 3m+12=10m+40 equation:


Simplifying
3m + 12 = 10m + 40

Reorder the terms:
12 + 3m = 10m + 40

Reorder the terms:
12 + 3m = 40 + 10m

Solving
12 + 3m = 40 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
12 + 3m + -10m = 40 + 10m + -10m

Combine like terms: 3m + -10m = -7m
12 + -7m = 40 + 10m + -10m

Combine like terms: 10m + -10m = 0
12 + -7m = 40 + 0
12 + -7m = 40

Add '-12' to each side of the equation.
12 + -12 + -7m = 40 + -12

Combine like terms: 12 + -12 = 0
0 + -7m = 40 + -12
-7m = 40 + -12

Combine like terms: 40 + -12 = 28
-7m = 28

Divide each side by '-7'.
m = -4

Simplifying
m = -4

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