12(m+3)=4(m+12)+6m

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Solution for 12(m+3)=4(m+12)+6m equation: 


Simplifying
12(m + 3) = 4(m + 12) + 6m

Reorder the terms:
12(3 + m) = 4(m + 12) + 6m
(3 * 12 + m * 12) = 4(m + 12) + 6m
(36 + 12m) = 4(m + 12) + 6m

Reorder the terms:
36 + 12m = 4(12 + m) + 6m
36 + 12m = (12 * 4 + m * 4) + 6m
36 + 12m = (48 + 4m) + 6m

Combine like terms: 4m + 6m = 10m
36 + 12m = 48 + 10m

Solving
36 + 12m = 48 + 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.
36 + 12m + -10m = 48 + 10m + -10m

Combine like terms: 12m + -10m = 2m
36 + 2m = 48 + 10m + -10m

Combine like terms: 10m + -10m = 0
36 + 2m = 48 + 0
36 + 2m = 48

Add '-36' to each side of the equation.
36 + -36 + 2m = 48 + -36

Combine like terms: 36 + -36 = 0
0 + 2m = 48 + -36
2m = 48 + -36

Combine like terms: 48 + -36 = 12
2m = 12

Divide each side by '2'.
m = 6

Simplifying
m = 6

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