50(40)=0.20(40-m)+0.80m

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Solution for 50(40)=0.20(40-m)+0.80m equation: 


Simplifying
50(40) = 0.20(40 + -1m) + 0.80m

Multiply 50 * 40
2000 = 0.20(40 + -1m) + 0.80m
2000 = (40 * 0.20 + -1m * 0.20) + 0.80m
2000 = (8 + -0.2m) + 0.80m

Combine like terms: -0.2m + 0.80m = 0.6m
2000 = 8 + 0.6m

Solving
2000 = 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.
2000 + -0.6m = 8 + 0.6m + -0.6m

Combine like terms: 0.6m + -0.6m = 0.0
2000 + -0.6m = 8 + 0.0
2000 + -0.6m = 8

Add '-2000' to each side of the equation.
2000 + -2000 + -0.6m = 8 + -2000

Combine like terms: 2000 + -2000 = 0
0 + -0.6m = 8 + -2000
-0.6m = 8 + -2000

Combine like terms: 8 + -2000 = -1992
-0.6m = -1992

Divide each side by '-0.6'.
m = 3320

Simplifying
m = 3320

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