7m-2[8-(m-4)]=-(6-m)-5m

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Solution for 7m-2[8-(m-4)]=-(6-m)-5m equation:


Simplifying
7m + -2[8 + -1(m + -4)] = -1(6 + -1m) + -5m

Reorder the terms:
7m + -2[8 + -1(-4 + m)] = -1(6 + -1m) + -5m
7m + -2[8 + (-4 * -1 + m * -1)] = -1(6 + -1m) + -5m
7m + -2[8 + (4 + -1m)] = -1(6 + -1m) + -5m

Combine like terms: 8 + 4 = 12
7m + -2[12 + -1m] = -1(6 + -1m) + -5m
7m + [12 * -2 + -1m * -2] = -1(6 + -1m) + -5m
7m + [-24 + 2m] = -1(6 + -1m) + -5m

Reorder the terms:
-24 + 7m + 2m = -1(6 + -1m) + -5m

Combine like terms: 7m + 2m = 9m
-24 + 9m = -1(6 + -1m) + -5m
-24 + 9m = (6 * -1 + -1m * -1) + -5m
-24 + 9m = (-6 + 1m) + -5m

Combine like terms: 1m + -5m = -4m
-24 + 9m = -6 + -4m

Solving
-24 + 9m = -6 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
-24 + 9m + 4m = -6 + -4m + 4m

Combine like terms: 9m + 4m = 13m
-24 + 13m = -6 + -4m + 4m

Combine like terms: -4m + 4m = 0
-24 + 13m = -6 + 0
-24 + 13m = -6

Add '24' to each side of the equation.
-24 + 24 + 13m = -6 + 24

Combine like terms: -24 + 24 = 0
0 + 13m = -6 + 24
13m = -6 + 24

Combine like terms: -6 + 24 = 18
13m = 18

Divide each side by '13'.
m = 1.384615385

Simplifying
m = 1.384615385

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