4(m+9)=-2(m+5)+2

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Solution for 4(m+9)=-2(m+5)+2 equation: 


Simplifying
4(m + 9) = -2(m + 5) + 2

Reorder the terms:
4(9 + m) = -2(m + 5) + 2
(9 * 4 + m * 4) = -2(m + 5) + 2
(36 + 4m) = -2(m + 5) + 2

Reorder the terms:
36 + 4m = -2(5 + m) + 2
36 + 4m = (5 * -2 + m * -2) + 2
36 + 4m = (-10 + -2m) + 2

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

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

Solving
36 + 4m = -8 + -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.
36 + 4m + 2m = -8 + -2m + 2m

Combine like terms: 4m + 2m = 6m
36 + 6m = -8 + -2m + 2m

Combine like terms: -2m + 2m = 0
36 + 6m = -8 + 0
36 + 6m = -8

Add '-36' to each side of the equation.
36 + -36 + 6m = -8 + -36

Combine like terms: 36 + -36 = 0
0 + 6m = -8 + -36
6m = -8 + -36

Combine like terms: -8 + -36 = -44
6m = -44

Divide each side by '6'.
m = -7.333333333

Simplifying
m = -7.333333333

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