C=50+0.8(C+30+10)

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Solution for C=50+0.8(C+30+10) equation: 


Simplifying
C = 50 + 0.8(C + 30 + 10)

Reorder the terms:
C = 50 + 0.8(30 + 10 + C)

Combine like terms: 30 + 10 = 40
C = 50 + 0.8(40 + C)
C = 50 + (40 * 0.8 + C * 0.8)
C = 50 + (32 + 0.8C)

Combine like terms: 50 + 32 = 82
C = 82 + 0.8C

Solving
C = 82 + 0.8C

Solving for variable 'C'.

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

Add '-0.8C' to each side of the equation.
C + -0.8C = 82 + 0.8C + -0.8C

Combine like terms: C + -0.8C = 0.2C
0.2C = 82 + 0.8C + -0.8C

Combine like terms: 0.8C + -0.8C = 0.0
0.2C = 82 + 0.0
0.2C = 82

Divide each side by '0.2'.
C = 410

Simplifying
C = 410

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