.40C+(.50)(500-c)=240

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Solution for .40C+(.50)(500-c)=240 equation: 


Simplifying
0.40C + (0.50)(500 + -1c) = 240
0.40C + (500 * 0.50 + -1c * 0.50) = 240
0.40C + (250 + -0.5c) = 240

Reorder the terms:
250 + 0.40C + -0.5c = 240

Solving
250 + 0.40C + -0.5c = 240

Solving for variable 'C'.

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

Add '-250' to each side of the equation.
250 + 0.40C + -250 + -0.5c = 240 + -250

Reorder the terms:
250 + -250 + 0.40C + -0.5c = 240 + -250

Combine like terms: 250 + -250 = 0
0 + 0.40C + -0.5c = 240 + -250
0.40C + -0.5c = 240 + -250

Combine like terms: 240 + -250 = -10
0.40C + -0.5c = -10

Add '0.5c' to each side of the equation.
0.40C + -0.5c + 0.5c = -10 + 0.5c

Combine like terms: -0.5c + 0.5c = 0.0
0.40C + 0.0 = -10 + 0.5c
0.40C = -10 + 0.5c

Divide each side by '0.40'.
C = -25 + 1.25c

Simplifying
C = -25 + 1.25c

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