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Simplifying 5(c + 9) = -3(21 + c) Reorder the terms: 5(9 + c) = -3(21 + c) (9 * 5 + c * 5) = -3(21 + c) (45 + 5c) = -3(21 + c) 45 + 5c = (21 * -3 + c * -3) 45 + 5c = (-63 + -3c) Solving 45 + 5c = -63 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 45 + 5c + 3c = -63 + -3c + 3c Combine like terms: 5c + 3c = 8c 45 + 8c = -63 + -3c + 3c Combine like terms: -3c + 3c = 0 45 + 8c = -63 + 0 45 + 8c = -63 Add '-45' to each side of the equation. 45 + -45 + 8c = -63 + -45 Combine like terms: 45 + -45 = 0 0 + 8c = -63 + -45 8c = -63 + -45 Combine like terms: -63 + -45 = -108 8c = -108 Divide each side by '8'. c = -13.5 Simplifying c = -13.5
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