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Simplifying 30 = 8 + 9(c + 5) Reorder the terms: 30 = 8 + 9(5 + c) 30 = 8 + (5 * 9 + c * 9) 30 = 8 + (45 + 9c) Combine like terms: 8 + 45 = 53 30 = 53 + 9c Solving 30 = 53 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 30 + -9c = 53 + 9c + -9c Combine like terms: 9c + -9c = 0 30 + -9c = 53 + 0 30 + -9c = 53 Add '-30' to each side of the equation. 30 + -30 + -9c = 53 + -30 Combine like terms: 30 + -30 = 0 0 + -9c = 53 + -30 -9c = 53 + -30 Combine like terms: 53 + -30 = 23 -9c = 23 Divide each side by '-9'. c = -2.555555556 Simplifying c = -2.555555556
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