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

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


Simplifying
-6 + 5(2 + -2m) = 2(m + 8)
-6 + (2 * 5 + -2m * 5) = 2(m + 8)
-6 + (10 + -10m) = 2(m + 8)

Combine like terms: -6 + 10 = 4
4 + -10m = 2(m + 8)

Reorder the terms:
4 + -10m = 2(8 + m)
4 + -10m = (8 * 2 + m * 2)
4 + -10m = (16 + 2m)

Solving
4 + -10m = 16 + 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 + -10m + -2m = 16 + 2m + -2m

Combine like terms: -10m + -2m = -12m
4 + -12m = 16 + 2m + -2m

Combine like terms: 2m + -2m = 0
4 + -12m = 16 + 0
4 + -12m = 16

Add '-4' to each side of the equation.
4 + -4 + -12m = 16 + -4

Combine like terms: 4 + -4 = 0
0 + -12m = 16 + -4
-12m = 16 + -4

Combine like terms: 16 + -4 = 12
-12m = 12

Divide each side by '-12'.
m = -1

Simplifying
m = -1

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