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 = 2m
36 + 2m = -8 + 2m + -2m

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

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

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

Combine like terms: -8 + -36 = -44
2m = -44

Divide each side by '2'.
m = -22

Simplifying
m = -22

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