3(-6m+10)=2(-10m+17)

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Solution for 3(-6m+10)=2(-10m+17) equation:


Simplifying
3(-6m + 10) = 2(-10m + 17)

Reorder the terms:
3(10 + -6m) = 2(-10m + 17)
(10 * 3 + -6m * 3) = 2(-10m + 17)
(30 + -18m) = 2(-10m + 17)

Reorder the terms:
30 + -18m = 2(17 + -10m)
30 + -18m = (17 * 2 + -10m * 2)
30 + -18m = (34 + -20m)

Solving
30 + -18m = 34 + -20m

Solving for variable 'm'.

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

Add '20m' to each side of the equation.
30 + -18m + 20m = 34 + -20m + 20m

Combine like terms: -18m + 20m = 2m
30 + 2m = 34 + -20m + 20m

Combine like terms: -20m + 20m = 0
30 + 2m = 34 + 0
30 + 2m = 34

Add '-30' to each side of the equation.
30 + -30 + 2m = 34 + -30

Combine like terms: 30 + -30 = 0
0 + 2m = 34 + -30
2m = 34 + -30

Combine like terms: 34 + -30 = 4
2m = 4

Divide each side by '2'.
m = 2

Simplifying
m = 2

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