31=m*1+(1-m)*30

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Solution for 31=m*1+(1-m)*30 equation: 


Simplifying
31 = m * 1 + (1 + -1m) * 30

Reorder the terms for easier multiplication:
31 = 1m + (1 + -1m) * 30

Reorder the terms for easier multiplication:
31 = 1m + 30(1 + -1m)
31 = 1m + (1 * 30 + -1m * 30)
31 = 1m + (30 + -30m)

Reorder the terms:
31 = 30 + 1m + -30m

Combine like terms: 1m + -30m = -29m
31 = 30 + -29m

Solving
31 = 30 + -29m

Solving for variable 'm'.

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

Add '29m' to each side of the equation.
31 + 29m = 30 + -29m + 29m

Combine like terms: -29m + 29m = 0
31 + 29m = 30 + 0
31 + 29m = 30

Add '-31' to each side of the equation.
31 + -31 + 29m = 30 + -31

Combine like terms: 31 + -31 = 0
0 + 29m = 30 + -31
29m = 30 + -31

Combine like terms: 30 + -31 = -1
29m = -1

Divide each side by '29'.
m = -0.03448275862

Simplifying
m = -0.03448275862

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