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Simplifying 8.25c + 12(55 + -1c) = 585 8.25c + (55 * 12 + -1c * 12) = 585 8.25c + (660 + -12c) = 585 Reorder the terms: 660 + 8.25c + -12c = 585 Combine like terms: 8.25c + -12c = -3.75c 660 + -3.75c = 585 Solving 660 + -3.75c = 585 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-660' to each side of the equation. 660 + -660 + -3.75c = 585 + -660 Combine like terms: 660 + -660 = 0 0 + -3.75c = 585 + -660 -3.75c = 585 + -660 Combine like terms: 585 + -660 = -75 -3.75c = -75 Divide each side by '-3.75'. c = 20 Simplifying c = 20
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