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Simplifying 5(4c + 1) = 17c + 8 Reorder the terms: 5(1 + 4c) = 17c + 8 (1 * 5 + 4c * 5) = 17c + 8 (5 + 20c) = 17c + 8 Reorder the terms: 5 + 20c = 8 + 17c Solving 5 + 20c = 8 + 17c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-17c' to each side of the equation. 5 + 20c + -17c = 8 + 17c + -17c Combine like terms: 20c + -17c = 3c 5 + 3c = 8 + 17c + -17c Combine like terms: 17c + -17c = 0 5 + 3c = 8 + 0 5 + 3c = 8 Add '-5' to each side of the equation. 5 + -5 + 3c = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 3c = 8 + -5 3c = 8 + -5 Combine like terms: 8 + -5 = 3 3c = 3 Divide each side by '3'. c = 1 Simplifying c = 1
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