4(6+m)-3(m+5)=6m-8m

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Solution for 4(6+m)-3(m+5)=6m-8m equation: 


Simplifying
4(6 + m) + -3(m + 5) = 6m + -8m
(6 * 4 + m * 4) + -3(m + 5) = 6m + -8m
(24 + 4m) + -3(m + 5) = 6m + -8m

Reorder the terms:
24 + 4m + -3(5 + m) = 6m + -8m
24 + 4m + (5 * -3 + m * -3) = 6m + -8m
24 + 4m + (-15 + -3m) = 6m + -8m

Reorder the terms:
24 + -15 + 4m + -3m = 6m + -8m

Combine like terms: 24 + -15 = 9
9 + 4m + -3m = 6m + -8m

Combine like terms: 4m + -3m = 1m
9 + 1m = 6m + -8m

Combine like terms: 6m + -8m = -2m
9 + 1m = -2m

Solving
9 + 1m = -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.
9 + 1m + 2m = -2m + 2m

Combine like terms: 1m + 2m = 3m
9 + 3m = -2m + 2m

Combine like terms: -2m + 2m = 0
9 + 3m = 0

Add '-9' to each side of the equation.
9 + -9 + 3m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3m = 0 + -9
3m = 0 + -9

Combine like terms: 0 + -9 = -9
3m = -9

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

Simplifying
m = -3

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