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Simplifying 9(c + -9) = 8(c + 3) Reorder the terms: 9(-9 + c) = 8(c + 3) (-9 * 9 + c * 9) = 8(c + 3) (-81 + 9c) = 8(c + 3) Reorder the terms: -81 + 9c = 8(3 + c) -81 + 9c = (3 * 8 + c * 8) -81 + 9c = (24 + 8c) Solving -81 + 9c = 24 + 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 = 24 + 8c + -8c Combine like terms: 9c + -8c = 1c -81 + 1c = 24 + 8c + -8c Combine like terms: 8c + -8c = 0 -81 + 1c = 24 + 0 -81 + 1c = 24 Add '81' to each side of the equation. -81 + 81 + 1c = 24 + 81 Combine like terms: -81 + 81 = 0 0 + 1c = 24 + 81 1c = 24 + 81 Combine like terms: 24 + 81 = 105 1c = 105 Divide each side by '1'. c = 105 Simplifying c = 105
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