c=200+0.75(500+c)

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Solution for c=200+0.75(500+c) equation: 


Simplifying
c = 200 + 0.75(500 + c)
c = 200 + (500 * 0.75 + c * 0.75)
c = 200 + (375 + 0.75c)

Combine like terms: 200 + 375 = 575
c = 575 + 0.75c

Solving
c = 575 + 0.75c

Solving for variable 'c'.

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

Add '-0.75c' to each side of the equation.
c + -0.75c = 575 + 0.75c + -0.75c

Combine like terms: c + -0.75c = 0.25c
0.25c = 575 + 0.75c + -0.75c

Combine like terms: 0.75c + -0.75c = 0.00
0.25c = 575 + 0.00
0.25c = 575

Divide each side by '0.25'.
c = 2300

Simplifying
c = 2300

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