3m+15=8m-(1+7m)

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Solution for 3m+15=8m-(1+7m) equation:


Simplifying
3m + 15 = 8m + -1(1 + 7m)

Reorder the terms:
15 + 3m = 8m + -1(1 + 7m)
15 + 3m = 8m + (1 * -1 + 7m * -1)
15 + 3m = 8m + (-1 + -7m)

Reorder the terms:
15 + 3m = -1 + 8m + -7m

Combine like terms: 8m + -7m = 1m
15 + 3m = -1 + 1m

Solving
15 + 3m = -1 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
15 + 3m + -1m = -1 + 1m + -1m

Combine like terms: 3m + -1m = 2m
15 + 2m = -1 + 1m + -1m

Combine like terms: 1m + -1m = 0
15 + 2m = -1 + 0
15 + 2m = -1

Add '-15' to each side of the equation.
15 + -15 + 2m = -1 + -15

Combine like terms: 15 + -15 = 0
0 + 2m = -1 + -15
2m = -1 + -15

Combine like terms: -1 + -15 = -16
2m = -16

Divide each side by '2'.
m = -8

Simplifying
m = -8

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