10(1-m)-12=4m-4(3m+9)

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Solution for 10(1-m)-12=4m-4(3m+9) equation: 


Simplifying
10(1 + -1m) + -12 = 4m + -4(3m + 9)
(1 * 10 + -1m * 10) + -12 = 4m + -4(3m + 9)
(10 + -10m) + -12 = 4m + -4(3m + 9)

Reorder the terms:
10 + -12 + -10m = 4m + -4(3m + 9)

Combine like terms: 10 + -12 = -2
-2 + -10m = 4m + -4(3m + 9)

Reorder the terms:
-2 + -10m = 4m + -4(9 + 3m)
-2 + -10m = 4m + (9 * -4 + 3m * -4)
-2 + -10m = 4m + (-36 + -12m)

Reorder the terms:
-2 + -10m = -36 + 4m + -12m

Combine like terms: 4m + -12m = -8m
-2 + -10m = -36 + -8m

Solving
-2 + -10m = -36 + -8m

Solving for variable 'm'.

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

Add '8m' to each side of the equation.
-2 + -10m + 8m = -36 + -8m + 8m

Combine like terms: -10m + 8m = -2m
-2 + -2m = -36 + -8m + 8m

Combine like terms: -8m + 8m = 0
-2 + -2m = -36 + 0
-2 + -2m = -36

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

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

Combine like terms: -36 + 2 = -34
-2m = -34

Divide each side by '-2'.
m = 17

Simplifying
m = 17

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