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Simplifying 9(1 + c) = 8(c + -9) (1 * 9 + c * 9) = 8(c + -9) (9 + 9c) = 8(c + -9) Reorder the terms: 9 + 9c = 8(-9 + c) 9 + 9c = (-9 * 8 + c * 8) 9 + 9c = (-72 + 8c) Solving 9 + 9c = -72 + 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. 9 + 9c + -8c = -72 + 8c + -8c Combine like terms: 9c + -8c = 1c 9 + 1c = -72 + 8c + -8c Combine like terms: 8c + -8c = 0 9 + 1c = -72 + 0 9 + 1c = -72 Add '-9' to each side of the equation. 9 + -9 + 1c = -72 + -9 Combine like terms: 9 + -9 = 0 0 + 1c = -72 + -9 1c = -72 + -9 Combine like terms: -72 + -9 = -81 1c = -81 Divide each side by '1'. c = -81 Simplifying c = -81
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