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Simplifying 9(c + 6) = 8c + -4 Reorder the terms: 9(6 + c) = 8c + -4 (6 * 9 + c * 9) = 8c + -4 (54 + 9c) = 8c + -4 Reorder the terms: 54 + 9c = -4 + 8c Solving 54 + 9c = -4 + 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. 54 + 9c + -8c = -4 + 8c + -8c Combine like terms: 9c + -8c = 1c 54 + 1c = -4 + 8c + -8c Combine like terms: 8c + -8c = 0 54 + 1c = -4 + 0 54 + 1c = -4 Add '-54' to each side of the equation. 54 + -54 + 1c = -4 + -54 Combine like terms: 54 + -54 = 0 0 + 1c = -4 + -54 1c = -4 + -54 Combine like terms: -4 + -54 = -58 1c = -58 Divide each side by '1'. c = -58 Simplifying c = -58
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