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Simplifying 9(c + 9) = 7 + 8c Reorder the terms: 9(9 + c) = 7 + 8c (9 * 9 + c * 9) = 7 + 8c (81 + 9c) = 7 + 8c Solving 81 + 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. 81 + 9c + -8c = 7 + 8c + -8c Combine like terms: 9c + -8c = 1c 81 + 1c = 7 + 8c + -8c Combine like terms: 8c + -8c = 0 81 + 1c = 7 + 0 81 + 1c = 7 Add '-81' to each side of the equation. 81 + -81 + 1c = 7 + -81 Combine like terms: 81 + -81 = 0 0 + 1c = 7 + -81 1c = 7 + -81 Combine like terms: 7 + -81 = -74 1c = -74 Divide each side by '1'. c = -74 Simplifying c = -74
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