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Simplifying 9(c + 5) = 7 + 8c Reorder the terms: 9(5 + c) = 7 + 8c (5 * 9 + c * 9) = 7 + 8c (45 + 9c) = 7 + 8c Solving 45 + 9c = 7 + 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. 45 + 9c + -8c = 7 + 8c + -8c Combine like terms: 9c + -8c = 1c 45 + 1c = 7 + 8c + -8c Combine like terms: 8c + -8c = 0 45 + 1c = 7 + 0 45 + 1c = 7 Add '-45' to each side of the equation. 45 + -45 + 1c = 7 + -45 Combine like terms: 45 + -45 = 0 0 + 1c = 7 + -45 1c = 7 + -45 Combine like terms: 7 + -45 = -38 1c = -38 Divide each side by '1'. c = -38 Simplifying c = -38
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