11-2(3m-10)=5(4-m)

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Solution for 11-2(3m-10)=5(4-m) equation: 


Simplifying
11 + -2(3m + -10) = 5(4 + -1m)

Reorder the terms:
11 + -2(-10 + 3m) = 5(4 + -1m)
11 + (-10 * -2 + 3m * -2) = 5(4 + -1m)
11 + (20 + -6m) = 5(4 + -1m)

Combine like terms: 11 + 20 = 31
31 + -6m = 5(4 + -1m)
31 + -6m = (4 * 5 + -1m * 5)
31 + -6m = (20 + -5m)

Solving
31 + -6m = 20 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
31 + -6m + 5m = 20 + -5m + 5m

Combine like terms: -6m + 5m = -1m
31 + -1m = 20 + -5m + 5m

Combine like terms: -5m + 5m = 0
31 + -1m = 20 + 0
31 + -1m = 20

Add '-31' to each side of the equation.
31 + -31 + -1m = 20 + -31

Combine like terms: 31 + -31 = 0
0 + -1m = 20 + -31
-1m = 20 + -31

Combine like terms: 20 + -31 = -11
-1m = -11

Divide each side by '-1'.
m = 11

Simplifying
m = 11

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