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Simplifying (56c + 6) * 5 = 6c + 44 Reorder the terms: (6 + 56c) * 5 = 6c + 44 Reorder the terms for easier multiplication: 5(6 + 56c) = 6c + 44 (6 * 5 + 56c * 5) = 6c + 44 (30 + 280c) = 6c + 44 Reorder the terms: 30 + 280c = 44 + 6c Solving 30 + 280c = 44 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 30 + 280c + -6c = 44 + 6c + -6c Combine like terms: 280c + -6c = 274c 30 + 274c = 44 + 6c + -6c Combine like terms: 6c + -6c = 0 30 + 274c = 44 + 0 30 + 274c = 44 Add '-30' to each side of the equation. 30 + -30 + 274c = 44 + -30 Combine like terms: 30 + -30 = 0 0 + 274c = 44 + -30 274c = 44 + -30 Combine like terms: 44 + -30 = 14 274c = 14 Divide each side by '274'. c = 0.05109489051 Simplifying c = 0.05109489051
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