6m-3(6-5m)+3m=10-4(2-m)

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Solution for 6m-3(6-5m)+3m=10-4(2-m) equation: 


Simplifying
6m + -3(6 + -5m) + 3m = 10 + -4(2 + -1m)
6m + (6 * -3 + -5m * -3) + 3m = 10 + -4(2 + -1m)
6m + (-18 + 15m) + 3m = 10 + -4(2 + -1m)

Reorder the terms:
-18 + 6m + 15m + 3m = 10 + -4(2 + -1m)

Combine like terms: 6m + 15m = 21m
-18 + 21m + 3m = 10 + -4(2 + -1m)

Combine like terms: 21m + 3m = 24m
-18 + 24m = 10 + -4(2 + -1m)
-18 + 24m = 10 + (2 * -4 + -1m * -4)
-18 + 24m = 10 + (-8 + 4m)

Combine like terms: 10 + -8 = 2
-18 + 24m = 2 + 4m

Solving
-18 + 24m = 2 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-18 + 24m + -4m = 2 + 4m + -4m

Combine like terms: 24m + -4m = 20m
-18 + 20m = 2 + 4m + -4m

Combine like terms: 4m + -4m = 0
-18 + 20m = 2 + 0
-18 + 20m = 2

Add '18' to each side of the equation.
-18 + 18 + 20m = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 20m = 2 + 18
20m = 2 + 18

Combine like terms: 2 + 18 = 20
20m = 20

Divide each side by '20'.
m = 1

Simplifying
m = 1

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