8m+2+7m=2(4m-5)+8(-6-m)

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


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

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

Combine like terms: 8m + 7m = 15m
2 + 15m = 2(4m + -5) + 8(-6 + -1m)

Reorder the terms:
2 + 15m = 2(-5 + 4m) + 8(-6 + -1m)
2 + 15m = (-5 * 2 + 4m * 2) + 8(-6 + -1m)
2 + 15m = (-10 + 8m) + 8(-6 + -1m)
2 + 15m = -10 + 8m + (-6 * 8 + -1m * 8)
2 + 15m = -10 + 8m + (-48 + -8m)

Reorder the terms:
2 + 15m = -10 + -48 + 8m + -8m

Combine like terms: -10 + -48 = -58
2 + 15m = -58 + 8m + -8m

Combine like terms: 8m + -8m = 0
2 + 15m = -58 + 0
2 + 15m = -58

Solving
2 + 15m = -58

Solving for variable 'm'.

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

Add '-2' to each side of the equation.
2 + -2 + 15m = -58 + -2

Combine like terms: 2 + -2 = 0
0 + 15m = -58 + -2
15m = -58 + -2

Combine like terms: -58 + -2 = -60
15m = -60

Divide each side by '15'.
m = -4

Simplifying
m = -4

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