3(-16m+5)=-8(9m-10)+11m

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Solution for 3(-16m+5)=-8(9m-10)+11m equation:


Simplifying
3(-16m + 5) = -8(9m + -10) + 11m

Reorder the terms:
3(5 + -16m) = -8(9m + -10) + 11m
(5 * 3 + -16m * 3) = -8(9m + -10) + 11m
(15 + -48m) = -8(9m + -10) + 11m

Reorder the terms:
15 + -48m = -8(-10 + 9m) + 11m
15 + -48m = (-10 * -8 + 9m * -8) + 11m
15 + -48m = (80 + -72m) + 11m

Combine like terms: -72m + 11m = -61m
15 + -48m = 80 + -61m

Solving
15 + -48m = 80 + -61m

Solving for variable 'm'.

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

Add '61m' to each side of the equation.
15 + -48m + 61m = 80 + -61m + 61m

Combine like terms: -48m + 61m = 13m
15 + 13m = 80 + -61m + 61m

Combine like terms: -61m + 61m = 0
15 + 13m = 80 + 0
15 + 13m = 80

Add '-15' to each side of the equation.
15 + -15 + 13m = 80 + -15

Combine like terms: 15 + -15 = 0
0 + 13m = 80 + -15
13m = 80 + -15

Combine like terms: 80 + -15 = 65
13m = 65

Divide each side by '13'.
m = 5

Simplifying
m = 5

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