-4(3m-3)=(11-m)2

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Solution for -4(3m-3)=(11-m)2 equation:


Simplifying
-4(3m + -3) = (11 + -1m) * 2

Reorder the terms:
-4(-3 + 3m) = (11 + -1m) * 2
(-3 * -4 + 3m * -4) = (11 + -1m) * 2
(12 + -12m) = (11 + -1m) * 2

Reorder the terms for easier multiplication:
12 + -12m = 2(11 + -1m)
12 + -12m = (11 * 2 + -1m * 2)
12 + -12m = (22 + -2m)

Solving
12 + -12m = 22 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
12 + -12m + 2m = 22 + -2m + 2m

Combine like terms: -12m + 2m = -10m
12 + -10m = 22 + -2m + 2m

Combine like terms: -2m + 2m = 0
12 + -10m = 22 + 0
12 + -10m = 22

Add '-12' to each side of the equation.
12 + -12 + -10m = 22 + -12

Combine like terms: 12 + -12 = 0
0 + -10m = 22 + -12
-10m = 22 + -12

Combine like terms: 22 + -12 = 10
-10m = 10

Divide each side by '-10'.
m = -1

Simplifying
m = -1

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