11-(23m-10)=5(4-m)

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Solution for 11-(23m-10)=5(4-m) equation: 


Simplifying
11 + -1(23m + -10) = 5(4 + -1m)

Reorder the terms:
11 + -1(-10 + 23m) = 5(4 + -1m)
11 + (-10 * -1 + 23m * -1) = 5(4 + -1m)
11 + (10 + -23m) = 5(4 + -1m)

Combine like terms: 11 + 10 = 21
21 + -23m = 5(4 + -1m)
21 + -23m = (4 * 5 + -1m * 5)
21 + -23m = (20 + -5m)

Solving
21 + -23m = 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.
21 + -23m + 5m = 20 + -5m + 5m

Combine like terms: -23m + 5m = -18m
21 + -18m = 20 + -5m + 5m

Combine like terms: -5m + 5m = 0
21 + -18m = 20 + 0
21 + -18m = 20

Add '-21' to each side of the equation.
21 + -21 + -18m = 20 + -21

Combine like terms: 21 + -21 = 0
0 + -18m = 20 + -21
-18m = 20 + -21

Combine like terms: 20 + -21 = -1
-18m = -1

Divide each side by '-18'.
m = 0.05555555556

Simplifying
m = 0.05555555556

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