10(2m+10)+8=-6-2(5m-7)

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Solution for 10(2m+10)+8=-6-2(5m-7) equation:


Simplifying
10(2m + 10) + 8 = -6 + -2(5m + -7)

Reorder the terms:
10(10 + 2m) + 8 = -6 + -2(5m + -7)
(10 * 10 + 2m * 10) + 8 = -6 + -2(5m + -7)
(100 + 20m) + 8 = -6 + -2(5m + -7)

Reorder the terms:
100 + 8 + 20m = -6 + -2(5m + -7)

Combine like terms: 100 + 8 = 108
108 + 20m = -6 + -2(5m + -7)

Reorder the terms:
108 + 20m = -6 + -2(-7 + 5m)
108 + 20m = -6 + (-7 * -2 + 5m * -2)
108 + 20m = -6 + (14 + -10m)

Combine like terms: -6 + 14 = 8
108 + 20m = 8 + -10m

Solving
108 + 20m = 8 + -10m

Solving for variable 'm'.

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

Add '10m' to each side of the equation.
108 + 20m + 10m = 8 + -10m + 10m

Combine like terms: 20m + 10m = 30m
108 + 30m = 8 + -10m + 10m

Combine like terms: -10m + 10m = 0
108 + 30m = 8 + 0
108 + 30m = 8

Add '-108' to each side of the equation.
108 + -108 + 30m = 8 + -108

Combine like terms: 108 + -108 = 0
0 + 30m = 8 + -108
30m = 8 + -108

Combine like terms: 8 + -108 = -100
30m = -100

Divide each side by '30'.
m = -3.333333333

Simplifying
m = -3.333333333

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