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Simplifying 5(c + 3) = 8(c + -3) Reorder the terms: 5(3 + c) = 8(c + -3) (3 * 5 + c * 5) = 8(c + -3) (15 + 5c) = 8(c + -3) Reorder the terms: 15 + 5c = 8(-3 + c) 15 + 5c = (-3 * 8 + c * 8) 15 + 5c = (-24 + 8c) Solving 15 + 5c = -24 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 15 + 5c + -8c = -24 + 8c + -8c Combine like terms: 5c + -8c = -3c 15 + -3c = -24 + 8c + -8c Combine like terms: 8c + -8c = 0 15 + -3c = -24 + 0 15 + -3c = -24 Add '-15' to each side of the equation. 15 + -15 + -3c = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -3c = -24 + -15 -3c = -24 + -15 Combine like terms: -24 + -15 = -39 -3c = -39 Divide each side by '-3'. c = 13 Simplifying c = 13
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