.50(40)=.20(40-m)+.80m

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Solution for .50(40)=.20(40-m)+.80m equation: 


Simplifying
0.50(40) = 0.20(40 + -1m) + 0.80m

Multiply 0.50 * 40
20 = 0.20(40 + -1m) + 0.80m
20 = (40 * 0.20 + -1m * 0.20) + 0.80m
20 = (8 + -0.2m) + 0.80m

Combine like terms: -0.2m + 0.80m = 0.6m
20 = 8 + 0.6m

Solving
20 = 8 + 0.6m

Solving for variable 'm'.

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

Add '-0.6m' to each side of the equation.
20 + -0.6m = 8 + 0.6m + -0.6m

Combine like terms: 0.6m + -0.6m = 0.0
20 + -0.6m = 8 + 0.0
20 + -0.6m = 8

Add '-20' to each side of the equation.
20 + -20 + -0.6m = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -0.6m = 8 + -20
-0.6m = 8 + -20

Combine like terms: 8 + -20 = -12
-0.6m = -12

Divide each side by '-0.6'.
m = 20

Simplifying
m = 20

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