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Simplifying 9(c + 3) = 8c + -6 Reorder the terms: 9(3 + c) = 8c + -6 (3 * 9 + c * 9) = 8c + -6 (27 + 9c) = 8c + -6 Reorder the terms: 27 + 9c = -6 + 8c Solving 27 + 9c = -6 + 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. 27 + 9c + -8c = -6 + 8c + -8c Combine like terms: 9c + -8c = 1c 27 + 1c = -6 + 8c + -8c Combine like terms: 8c + -8c = 0 27 + 1c = -6 + 0 27 + 1c = -6 Add '-27' to each side of the equation. 27 + -27 + 1c = -6 + -27 Combine like terms: 27 + -27 = 0 0 + 1c = -6 + -27 1c = -6 + -27 Combine like terms: -6 + -27 = -33 1c = -33 Divide each side by '1'. c = -33 Simplifying c = -33
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