7-3(8m-5)=3(8-2m)-7m

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Solution for 7-3(8m-5)=3(8-2m)-7m equation: 


Simplifying
7 + -3(8m + -5) = 3(8 + -2m) + -7m

Reorder the terms:
7 + -3(-5 + 8m) = 3(8 + -2m) + -7m
7 + (-5 * -3 + 8m * -3) = 3(8 + -2m) + -7m
7 + (15 + -24m) = 3(8 + -2m) + -7m

Combine like terms: 7 + 15 = 22
22 + -24m = 3(8 + -2m) + -7m
22 + -24m = (8 * 3 + -2m * 3) + -7m
22 + -24m = (24 + -6m) + -7m

Combine like terms: -6m + -7m = -13m
22 + -24m = 24 + -13m

Solving
22 + -24m = 24 + -13m

Solving for variable 'm'.

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

Add '13m' to each side of the equation.
22 + -24m + 13m = 24 + -13m + 13m

Combine like terms: -24m + 13m = -11m
22 + -11m = 24 + -13m + 13m

Combine like terms: -13m + 13m = 0
22 + -11m = 24 + 0
22 + -11m = 24

Add '-22' to each side of the equation.
22 + -22 + -11m = 24 + -22

Combine like terms: 22 + -22 = 0
0 + -11m = 24 + -22
-11m = 24 + -22

Combine like terms: 24 + -22 = 2
-11m = 2

Divide each side by '-11'.
m = -0.1818181818

Simplifying
m = -0.1818181818

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