.50(40)=(40-m)+0.80m

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Solution for .50(40)=(40-m)+0.80m equation:


Simplifying
0.50(40) = (40 + -1m) + 0.80m

Multiply 0.50 * 40
20 = (40 + -1m) + 0.80m

Remove parenthesis around (40 + -1m)
20 = 40 + -1m + 0.80m

Combine like terms: -1m + 0.80m = -0.2m
20 = 40 + -0.2m

Solving
20 = 40 + -0.2m

Solving for variable 'm'.

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

Add '0.2m' to each side of the equation.
20 + 0.2m = 40 + -0.2m + 0.2m

Combine like terms: -0.2m + 0.2m = 0.0
20 + 0.2m = 40 + 0.0
20 + 0.2m = 40

Add '-20' to each side of the equation.
20 + -20 + 0.2m = 40 + -20

Combine like terms: 20 + -20 = 0
0 + 0.2m = 40 + -20
0.2m = 40 + -20

Combine like terms: 40 + -20 = 20
0.2m = 20

Divide each side by '0.2'.
m = 100

Simplifying
m = 100

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