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Simplifying 9(c + 5) = c + 21 Reorder the terms: 9(5 + c) = c + 21 (5 * 9 + c * 9) = c + 21 (45 + 9c) = c + 21 Reorder the terms: 45 + 9c = 21 + c Solving 45 + 9c = 21 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 45 + 9c + -1c = 21 + c + -1c Combine like terms: 9c + -1c = 8c 45 + 8c = 21 + c + -1c Combine like terms: c + -1c = 0 45 + 8c = 21 + 0 45 + 8c = 21 Add '-45' to each side of the equation. 45 + -45 + 8c = 21 + -45 Combine like terms: 45 + -45 = 0 0 + 8c = 21 + -45 8c = 21 + -45 Combine like terms: 21 + -45 = -24 8c = -24 Divide each side by '8'. c = -3 Simplifying c = -3
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