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

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


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

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

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

Remove parenthesis around (-5 + m)
36 + 4m = -5 + m + 2

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

Combine like terms: -5 + 2 = -3
36 + 4m = -3 + m

Solving
36 + 4m = -3 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
36 + 4m + -1m = -3 + m + -1m

Combine like terms: 4m + -1m = 3m
36 + 3m = -3 + m + -1m

Combine like terms: m + -1m = 0
36 + 3m = -3 + 0
36 + 3m = -3

Add '-36' to each side of the equation.
36 + -36 + 3m = -3 + -36

Combine like terms: 36 + -36 = 0
0 + 3m = -3 + -36
3m = -3 + -36

Combine like terms: -3 + -36 = -39
3m = -39

Divide each side by '3'.
m = -13

Simplifying
m = -13

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