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

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


Simplifying
4(m + 9) = -1(m + -5) + 2

Reorder the terms:
4(9 + m) = -1(m + -5) + 2
(9 * 4 + m * 4) = -1(m + -5) + 2
(36 + 4m) = -1(m + -5) + 2

Reorder the terms:
36 + 4m = -1(-5 + m) + 2
36 + 4m = (-5 * -1 + m * -1) + 2
36 + 4m = (5 + -1m) + 2

Reorder the terms:
36 + 4m = 5 + 2 + -1m

Combine like terms: 5 + 2 = 7
36 + 4m = 7 + -1m

Solving
36 + 4m = 7 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
36 + 4m + m = 7 + -1m + m

Combine like terms: 4m + m = 5m
36 + 5m = 7 + -1m + m

Combine like terms: -1m + m = 0
36 + 5m = 7 + 0
36 + 5m = 7

Add '-36' to each side of the equation.
36 + -36 + 5m = 7 + -36

Combine like terms: 36 + -36 = 0
0 + 5m = 7 + -36
5m = 7 + -36

Combine like terms: 7 + -36 = -29
5m = -29

Divide each side by '5'.
m = -5.8

Simplifying
m = -5.8

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