15-7m=8(-6m-3)-2

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Solution for 15-7m=8(-6m-3)-2 equation: 


Simplifying
15 + -7m = 8(-6m + -3) + -2

Reorder the terms:
15 + -7m = 8(-3 + -6m) + -2
15 + -7m = (-3 * 8 + -6m * 8) + -2
15 + -7m = (-24 + -48m) + -2

Reorder the terms:
15 + -7m = -24 + -2 + -48m

Combine like terms: -24 + -2 = -26
15 + -7m = -26 + -48m

Solving
15 + -7m = -26 + -48m

Solving for variable 'm'.

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

Add '48m' to each side of the equation.
15 + -7m + 48m = -26 + -48m + 48m

Combine like terms: -7m + 48m = 41m
15 + 41m = -26 + -48m + 48m

Combine like terms: -48m + 48m = 0
15 + 41m = -26 + 0
15 + 41m = -26

Add '-15' to each side of the equation.
15 + -15 + 41m = -26 + -15

Combine like terms: 15 + -15 = 0
0 + 41m = -26 + -15
41m = -26 + -15

Combine like terms: -26 + -15 = -41
41m = -41

Divide each side by '41'.
m = -1

Simplifying
m = -1

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