6m+36=-4m-4(5+m)

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Solution for 6m+36=-4m-4(5+m) equation: 


Simplifying
6m + 36 = -4m + -4(5 + m)

Reorder the terms:
36 + 6m = -4m + -4(5 + m)
36 + 6m = -4m + (5 * -4 + m * -4)
36 + 6m = -4m + (-20 + -4m)

Reorder the terms:
36 + 6m = -20 + -4m + -4m

Combine like terms: -4m + -4m = -8m
36 + 6m = -20 + -8m

Solving
36 + 6m = -20 + -8m

Solving for variable 'm'.

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

Add '8m' to each side of the equation.
36 + 6m + 8m = -20 + -8m + 8m

Combine like terms: 6m + 8m = 14m
36 + 14m = -20 + -8m + 8m

Combine like terms: -8m + 8m = 0
36 + 14m = -20 + 0
36 + 14m = -20

Add '-36' to each side of the equation.
36 + -36 + 14m = -20 + -36

Combine like terms: 36 + -36 = 0
0 + 14m = -20 + -36
14m = -20 + -36

Combine like terms: -20 + -36 = -56
14m = -56

Divide each side by '14'.
m = -4

Simplifying
m = -4

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