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Simplifying 9(c + -3) = 7 + 8c Reorder the terms: 9(-3 + c) = 7 + 8c (-3 * 9 + c * 9) = 7 + 8c (-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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