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Simplifying 9(c + 3) = 8c + -7 Reorder the terms: 9(3 + c) = 8c + -7 (3 * 9 + c * 9) = 8c + -7 (27 + 9c) = 8c + -7 Reorder the terms: 27 + 9c = -7 + 8c Solving 27 + 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. 27 + 9c + -8c = -7 + 8c + -8c Combine like terms: 9c + -8c = 1c 27 + 1c = -7 + 8c + -8c Combine like terms: 8c + -8c = 0 27 + 1c = -7 + 0 27 + 1c = -7 Add '-27' to each side of the equation. 27 + -27 + 1c = -7 + -27 Combine like terms: 27 + -27 = 0 0 + 1c = -7 + -27 1c = -7 + -27 Combine like terms: -7 + -27 = -34 1c = -34 Divide each side by '1'. c = -34 Simplifying c = -34
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