8(2m+5)=3m-30

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Solution for 8(2m+5)=3m-30 equation:


Simplifying
8(2m + 5) = 3m + -30

Reorder the terms:
8(5 + 2m) = 3m + -30
(5 * 8 + 2m * 8) = 3m + -30
(40 + 16m) = 3m + -30

Reorder the terms:
40 + 16m = -30 + 3m

Solving
40 + 16m = -30 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
40 + 16m + -3m = -30 + 3m + -3m

Combine like terms: 16m + -3m = 13m
40 + 13m = -30 + 3m + -3m

Combine like terms: 3m + -3m = 0
40 + 13m = -30 + 0
40 + 13m = -30

Add '-40' to each side of the equation.
40 + -40 + 13m = -30 + -40

Combine like terms: 40 + -40 = 0
0 + 13m = -30 + -40
13m = -30 + -40

Combine like terms: -30 + -40 = -70
13m = -70

Divide each side by '13'.
m = -5.384615385

Simplifying
m = -5.384615385

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