500=45c+35(12-c)

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Solution for 500=45c+35(12-c) equation:


Simplifying
500 = 45c + 35(12 + -1c)
500 = 45c + (12 * 35 + -1c * 35)
500 = 45c + (420 + -35c)

Reorder the terms:
500 = 420 + 45c + -35c

Combine like terms: 45c + -35c = 10c
500 = 420 + 10c

Solving
500 = 420 + 10c

Solving for variable 'c'.

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

Add '-10c' to each side of the equation.
500 + -10c = 420 + 10c + -10c

Combine like terms: 10c + -10c = 0
500 + -10c = 420 + 0
500 + -10c = 420

Add '-500' to each side of the equation.
500 + -500 + -10c = 420 + -500

Combine like terms: 500 + -500 = 0
0 + -10c = 420 + -500
-10c = 420 + -500

Combine like terms: 420 + -500 = -80
-10c = -80

Divide each side by '-10'.
c = 8

Simplifying
c = 8

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