8(5-3m)=-6(7-m)-8

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Solution for 8(5-3m)=-6(7-m)-8 equation: 


Simplifying
8(5 + -3m) = -6(7 + -1m) + -8
(5 * 8 + -3m * 8) = -6(7 + -1m) + -8
(40 + -24m) = -6(7 + -1m) + -8
40 + -24m = (7 * -6 + -1m * -6) + -8
40 + -24m = (-42 + 6m) + -8

Reorder the terms:
40 + -24m = -42 + -8 + 6m

Combine like terms: -42 + -8 = -50
40 + -24m = -50 + 6m

Solving
40 + -24m = -50 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
40 + -24m + -6m = -50 + 6m + -6m

Combine like terms: -24m + -6m = -30m
40 + -30m = -50 + 6m + -6m

Combine like terms: 6m + -6m = 0
40 + -30m = -50 + 0
40 + -30m = -50

Add '-40' to each side of the equation.
40 + -40 + -30m = -50 + -40

Combine like terms: 40 + -40 = 0
0 + -30m = -50 + -40
-30m = -50 + -40

Combine like terms: -50 + -40 = -90
-30m = -90

Divide each side by '-30'.
m = 3

Simplifying
m = 3

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