3(m+1)=-4(-2-m)+2

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Solution for 3(m+1)=-4(-2-m)+2 equation: 


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

Reorder the terms:
3(1 + m) = -4(-2 + -1m) + 2
(1 * 3 + m * 3) = -4(-2 + -1m) + 2
(3 + 3m) = -4(-2 + -1m) + 2
3 + 3m = (-2 * -4 + -1m * -4) + 2
3 + 3m = (8 + 4m) + 2

Reorder the terms:
3 + 3m = 8 + 2 + 4m

Combine like terms: 8 + 2 = 10
3 + 3m = 10 + 4m

Solving
3 + 3m = 10 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
3 + 3m + -4m = 10 + 4m + -4m

Combine like terms: 3m + -4m = -1m
3 + -1m = 10 + 4m + -4m

Combine like terms: 4m + -4m = 0
3 + -1m = 10 + 0
3 + -1m = 10

Add '-3' to each side of the equation.
3 + -3 + -1m = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 10 + -3
-1m = 10 + -3

Combine like terms: 10 + -3 = 7
-1m = 7

Divide each side by '-1'.
m = -7

Simplifying
m = -7

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