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

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


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

Reorder the terms:
-5(-4 + m) + -2(8 + -2m) = -2(m + 4) + -6
(-4 * -5 + m * -5) + -2(8 + -2m) = -2(m + 4) + -6
(20 + -5m) + -2(8 + -2m) = -2(m + 4) + -6
20 + -5m + (8 * -2 + -2m * -2) = -2(m + 4) + -6
20 + -5m + (-16 + 4m) = -2(m + 4) + -6

Reorder the terms:
20 + -16 + -5m + 4m = -2(m + 4) + -6

Combine like terms: 20 + -16 = 4
4 + -5m + 4m = -2(m + 4) + -6

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

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

Reorder the terms:
4 + -1m = -8 + -6 + -2m

Combine like terms: -8 + -6 = -14
4 + -1m = -14 + -2m

Solving
4 + -1m = -14 + -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.
4 + -1m + 2m = -14 + -2m + 2m

Combine like terms: -1m + 2m = 1m
4 + 1m = -14 + -2m + 2m

Combine like terms: -2m + 2m = 0
4 + 1m = -14 + 0
4 + 1m = -14

Add '-4' to each side of the equation.
4 + -4 + 1m = -14 + -4

Combine like terms: 4 + -4 = 0
0 + 1m = -14 + -4
1m = -14 + -4

Combine like terms: -14 + -4 = -18
1m = -18

Divide each side by '1'.
m = -18

Simplifying
m = -18

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