0.75C+(0.50)(500-C)=275

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Solution for 0.75C+(0.50)(500-C)=275 equation: 


Simplifying
0.75C + (0.50)(500 + -1C) = 275
0.75C + (500 * 0.50 + -1C * 0.50) = 275
0.75C + (250 + -0.5C) = 275

Reorder the terms:
250 + 0.75C + -0.5C = 275

Combine like terms: 0.75C + -0.5C = 0.25C
250 + 0.25C = 275

Solving
250 + 0.25C = 275

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 + -250 + 0.25C = 275 + -250

Combine like terms: 250 + -250 = 0
0 + 0.25C = 275 + -250
0.25C = 275 + -250

Combine like terms: 275 + -250 = 25
0.25C = 25

Divide each side by '0.25'.
C = 100

Simplifying
C = 100

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