-5(m-1)+3(2m-1)=8

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Solution for -5(m-1)+3(2m-1)=8 equation: 


Simplifying
-5(m + -1) + 3(2m + -1) = 8

Reorder the terms:
-5(-1 + m) + 3(2m + -1) = 8
(-1 * -5 + m * -5) + 3(2m + -1) = 8
(5 + -5m) + 3(2m + -1) = 8

Reorder the terms:
5 + -5m + 3(-1 + 2m) = 8
5 + -5m + (-1 * 3 + 2m * 3) = 8
5 + -5m + (-3 + 6m) = 8

Reorder the terms:
5 + -3 + -5m + 6m = 8

Combine like terms: 5 + -3 = 2
2 + -5m + 6m = 8

Combine like terms: -5m + 6m = 1m
2 + 1m = 8

Solving
2 + 1m = 8

Solving for variable 'm'.

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

Add '-2' to each side of the equation.
2 + -2 + 1m = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 1m = 8 + -2
1m = 8 + -2

Combine like terms: 8 + -2 = 6
1m = 6

Divide each side by '1'.
m = 6

Simplifying
m = 6

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