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

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


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

Reorder the terms:
8(5 + 3m) = 2m + -5
(5 * 8 + 3m * 8) = 2m + -5
(40 + 24m) = 2m + -5

Reorder the terms:
40 + 24m = -5 + 2m

Solving
40 + 24m = -5 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
40 + 24m + -2m = -5 + 2m + -2m

Combine like terms: 24m + -2m = 22m
40 + 22m = -5 + 2m + -2m

Combine like terms: 2m + -2m = 0
40 + 22m = -5 + 0
40 + 22m = -5

Add '-40' to each side of the equation.
40 + -40 + 22m = -5 + -40

Combine like terms: 40 + -40 = 0
0 + 22m = -5 + -40
22m = -5 + -40

Combine like terms: -5 + -40 = -45
22m = -45

Divide each side by '22'.
m = -2.045454545

Simplifying
m = -2.045454545

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