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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 = 2c 45 + 2c = 63 + 3c + -3c Combine like terms: 3c + -3c = 0 45 + 2c = 63 + 0 45 + 2c = 63 Add '-45' to each side of the equation. 45 + -45 + 2c = 63 + -45 Combine like terms: 45 + -45 = 0 0 + 2c = 63 + -45 2c = 63 + -45 Combine like terms: 63 + -45 = 18 2c = 18 Divide each side by '2'. c = 9 Simplifying c = 9
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