-2(m+6)-3(-3m-3)=6(m-4)-3

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Solution for -2(m+6)-3(-3m-3)=6(m-4)-3 equation:


Simplifying
-2(m + 6) + -3(-3m + -3) = 6(m + -4) + -3

Reorder the terms:
-2(6 + m) + -3(-3m + -3) = 6(m + -4) + -3
(6 * -2 + m * -2) + -3(-3m + -3) = 6(m + -4) + -3
(-12 + -2m) + -3(-3m + -3) = 6(m + -4) + -3

Reorder the terms:
-12 + -2m + -3(-3 + -3m) = 6(m + -4) + -3
-12 + -2m + (-3 * -3 + -3m * -3) = 6(m + -4) + -3
-12 + -2m + (9 + 9m) = 6(m + -4) + -3

Reorder the terms:
-12 + 9 + -2m + 9m = 6(m + -4) + -3

Combine like terms: -12 + 9 = -3
-3 + -2m + 9m = 6(m + -4) + -3

Combine like terms: -2m + 9m = 7m
-3 + 7m = 6(m + -4) + -3

Reorder the terms:
-3 + 7m = 6(-4 + m) + -3
-3 + 7m = (-4 * 6 + m * 6) + -3
-3 + 7m = (-24 + 6m) + -3

Reorder the terms:
-3 + 7m = -24 + -3 + 6m

Combine like terms: -24 + -3 = -27
-3 + 7m = -27 + 6m

Solving
-3 + 7m = -27 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
-3 + 7m + -6m = -27 + 6m + -6m

Combine like terms: 7m + -6m = 1m
-3 + 1m = -27 + 6m + -6m

Combine like terms: 6m + -6m = 0
-3 + 1m = -27 + 0
-3 + 1m = -27

Add '3' to each side of the equation.
-3 + 3 + 1m = -27 + 3

Combine like terms: -3 + 3 = 0
0 + 1m = -27 + 3
1m = -27 + 3

Combine like terms: -27 + 3 = -24
1m = -24

Divide each side by '1'.
m = -24

Simplifying
m = -24

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