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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