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Simplifying 9 + -1(8c + 3) + 5c + 6 = 30c Reorder the terms: 9 + -1(3 + 8c) + 5c + 6 = 30c 9 + (3 * -1 + 8c * -1) + 5c + 6 = 30c 9 + (-3 + -8c) + 5c + 6 = 30c Reorder the terms: 9 + -3 + 6 + -8c + 5c = 30c Combine like terms: 9 + -3 = 6 6 + 6 + -8c + 5c = 30c Combine like terms: 6 + 6 = 12 12 + -8c + 5c = 30c Combine like terms: -8c + 5c = -3c 12 + -3c = 30c Solving 12 + -3c = 30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30c' to each side of the equation. 12 + -3c + -30c = 30c + -30c Combine like terms: -3c + -30c = -33c 12 + -33c = 30c + -30c Combine like terms: 30c + -30c = 0 12 + -33c = 0 Add '-12' to each side of the equation. 12 + -12 + -33c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -33c = 0 + -12 -33c = 0 + -12 Combine like terms: 0 + -12 = -12 -33c = -12 Divide each side by '-33'. c = 0.3636363636 Simplifying c = 0.3636363636
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