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Simplifying 5(3c + 6) = 8c + -8 Reorder the terms: 5(6 + 3c) = 8c + -8 (6 * 5 + 3c * 5) = 8c + -8 (30 + 15c) = 8c + -8 Reorder the terms: 30 + 15c = -8 + 8c Solving 30 + 15c = -8 + 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. 30 + 15c + -8c = -8 + 8c + -8c Combine like terms: 15c + -8c = 7c 30 + 7c = -8 + 8c + -8c Combine like terms: 8c + -8c = 0 30 + 7c = -8 + 0 30 + 7c = -8 Add '-30' to each side of the equation. 30 + -30 + 7c = -8 + -30 Combine like terms: 30 + -30 = 0 0 + 7c = -8 + -30 7c = -8 + -30 Combine like terms: -8 + -30 = -38 7c = -38 Divide each side by '7'. c = -5.428571429 Simplifying c = -5.428571429
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