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Simplifying 10p + -5c + 2p + 8c = 0 Reorder the terms: -5c + 8c + 10p + 2p = 0 Combine like terms: -5c + 8c = 3c 3c + 10p + 2p = 0 Combine like terms: 10p + 2p = 12p 3c + 12p = 0 Solving 3c + 12p = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12p' to each side of the equation. 3c + 12p + -12p = 0 + -12p Combine like terms: 12p + -12p = 0 3c + 0 = 0 + -12p 3c = 0 + -12p Remove the zero: 3c = -12p Divide each side by '3'. c = -4p Simplifying c = -4p
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