6-(4+m)=8m-2(3m+5)

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Solution for 6-(4+m)=8m-2(3m+5) equation: 


Simplifying
6 + -1(4 + m) = 8m + -2(3m + 5)
6 + (4 * -1 + m * -1) = 8m + -2(3m + 5)
6 + (-4 + -1m) = 8m + -2(3m + 5)

Combine like terms: 6 + -4 = 2
2 + -1m = 8m + -2(3m + 5)

Reorder the terms:
2 + -1m = 8m + -2(5 + 3m)
2 + -1m = 8m + (5 * -2 + 3m * -2)
2 + -1m = 8m + (-10 + -6m)

Reorder the terms:
2 + -1m = -10 + 8m + -6m

Combine like terms: 8m + -6m = 2m
2 + -1m = -10 + 2m

Solving
2 + -1m = -10 + 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.
2 + -1m + -2m = -10 + 2m + -2m

Combine like terms: -1m + -2m = -3m
2 + -3m = -10 + 2m + -2m

Combine like terms: 2m + -2m = 0
2 + -3m = -10 + 0
2 + -3m = -10

Add '-2' to each side of the equation.
2 + -2 + -3m = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = -10 + -2
-3m = -10 + -2

Combine like terms: -10 + -2 = -12
-3m = -12

Divide each side by '-3'.
m = 4

Simplifying
m = 4

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