11-6(3m-10)=5(4-m)

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Solution for 11-6(3m-10)=5(4-m) equation:


Simplifying
11 + -6(3m + -10) = 5(4 + -1m)

Reorder the terms:
11 + -6(-10 + 3m) = 5(4 + -1m)
11 + (-10 * -6 + 3m * -6) = 5(4 + -1m)
11 + (60 + -18m) = 5(4 + -1m)

Combine like terms: 11 + 60 = 71
71 + -18m = 5(4 + -1m)
71 + -18m = (4 * 5 + -1m * 5)
71 + -18m = (20 + -5m)

Solving
71 + -18m = 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.
71 + -18m + 5m = 20 + -5m + 5m

Combine like terms: -18m + 5m = -13m
71 + -13m = 20 + -5m + 5m

Combine like terms: -5m + 5m = 0
71 + -13m = 20 + 0
71 + -13m = 20

Add '-71' to each side of the equation.
71 + -71 + -13m = 20 + -71

Combine like terms: 71 + -71 = 0
0 + -13m = 20 + -71
-13m = 20 + -71

Combine like terms: 20 + -71 = -51
-13m = -51

Divide each side by '-13'.
m = 3.923076923

Simplifying
m = 3.923076923

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