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Simplifying 12c + 8.25(55 + -1c) = 585 12c + (55 * 8.25 + -1c * 8.25) = 585 12c + (453.75 + -8.25c) = 585 Reorder the terms: 453.75 + 12c + -8.25c = 585 Combine like terms: 12c + -8.25c = 3.75c 453.75 + 3.75c = 585 Solving 453.75 + 3.75c = 585 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-453.75' to each side of the equation. 453.75 + -453.75 + 3.75c = 585 + -453.75 Combine like terms: 453.75 + -453.75 = 0.00 0.00 + 3.75c = 585 + -453.75 3.75c = 585 + -453.75 Combine like terms: 585 + -453.75 = 131.25 3.75c = 131.25 Divide each side by '3.75'. c = 35 Simplifying c = 35
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