15-7m=-6-5(3m+7)

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Solution for 15-7m=-6-5(3m+7) equation:


Simplifying
15 + -7m = -6 + -5(3m + 7)

Reorder the terms:
15 + -7m = -6 + -5(7 + 3m)
15 + -7m = -6 + (7 * -5 + 3m * -5)
15 + -7m = -6 + (-35 + -15m)

Combine like terms: -6 + -35 = -41
15 + -7m = -41 + -15m

Solving
15 + -7m = -41 + -15m

Solving for variable 'm'.

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

Add '15m' to each side of the equation.
15 + -7m + 15m = -41 + -15m + 15m

Combine like terms: -7m + 15m = 8m
15 + 8m = -41 + -15m + 15m

Combine like terms: -15m + 15m = 0
15 + 8m = -41 + 0
15 + 8m = -41

Add '-15' to each side of the equation.
15 + -15 + 8m = -41 + -15

Combine like terms: 15 + -15 = 0
0 + 8m = -41 + -15
8m = -41 + -15

Combine like terms: -41 + -15 = -56
8m = -56

Divide each side by '8'.
m = -7

Simplifying
m = -7

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