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

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


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

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

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

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

Combine like terms: 10 + 5 = 15
36 + 4m = 15 + -2m

Solving
36 + 4m = 15 + -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 = 15 + -2m + 2m

Combine like terms: 4m + 2m = 6m
36 + 6m = 15 + -2m + 2m

Combine like terms: -2m + 2m = 0
36 + 6m = 15 + 0
36 + 6m = 15

Add '-36' to each side of the equation.
36 + -36 + 6m = 15 + -36

Combine like terms: 36 + -36 = 0
0 + 6m = 15 + -36
6m = 15 + -36

Combine like terms: 15 + -36 = -21
6m = -21

Divide each side by '6'.
m = -3.5

Simplifying
m = -3.5

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