10(2-m)-5(1-3m)=30

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Solution for 10(2-m)-5(1-3m)=30 equation: 


Simplifying
10(2 + -1m) + -5(1 + -3m) = 30
(2 * 10 + -1m * 10) + -5(1 + -3m) = 30
(20 + -10m) + -5(1 + -3m) = 30
20 + -10m + (1 * -5 + -3m * -5) = 30
20 + -10m + (-5 + 15m) = 30

Reorder the terms:
20 + -5 + -10m + 15m = 30

Combine like terms: 20 + -5 = 15
15 + -10m + 15m = 30

Combine like terms: -10m + 15m = 5m
15 + 5m = 30

Solving
15 + 5m = 30

Solving for variable 'm'.

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

Add '-15' to each side of the equation.
15 + -15 + 5m = 30 + -15

Combine like terms: 15 + -15 = 0
0 + 5m = 30 + -15
5m = 30 + -15

Combine like terms: 30 + -15 = 15
5m = 15

Divide each side by '5'.
m = 3

Simplifying
m = 3

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