c(n)=0.05n+0.10(200-n)

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Solution for c(n)=0.05n+0.10(200-n) equation: 


Simplifying
c(n) = 0.05n + 0.10(200 + -1n)

Multiply c * n
cn = 0.05n + 0.10(200 + -1n)
cn = 0.05n + (200 * 0.10 + -1n * 0.10)
cn = 0.05n + (20 + -0.1n)

Reorder the terms:
cn = 20 + 0.05n + -0.1n

Combine like terms: 0.05n + -0.1n = -0.05n
cn = 20 + -0.05n

Solving
cn = 20 + -0.05n

Solving for variable 'c'.

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

Divide each side by 'n'.
c = 20n-1 + -0.05

Simplifying
c = 20n-1 + -0.05

Reorder the terms:
c = -0.05 + 20n-1

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