.45(50)+.15m=.20(50+m)

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Solution for .45(50)+.15m=.20(50+m) equation: 


Simplifying
0.45(50) + 0.15m = 0.20(50 + m)

Multiply 0.45 * 50
22.5 + 0.15m = 0.20(50 + m)
22.5 + 0.15m = (50 * 0.20 + m * 0.20)
22.5 + 0.15m = (10 + 0.20m)

Solving
22.5 + 0.15m = 10 + 0.20m

Solving for variable 'm'.

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

Add '-0.20m' to each side of the equation.
22.5 + 0.15m + -0.20m = 10 + 0.20m + -0.20m

Combine like terms: 0.15m + -0.20m = -0.05m
22.5 + -0.05m = 10 + 0.20m + -0.20m

Combine like terms: 0.20m + -0.20m = 0.00
22.5 + -0.05m = 10 + 0.00
22.5 + -0.05m = 10

Add '-22.5' to each side of the equation.
22.5 + -22.5 + -0.05m = 10 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + -0.05m = 10 + -22.5
-0.05m = 10 + -22.5

Combine like terms: 10 + -22.5 = -12.5
-0.05m = -12.5

Divide each side by '-0.05'.
m = 250

Simplifying
m = 250

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