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Simplifying 5(4c + -1) + -5 = 17c + 5 Reorder the terms: 5(-1 + 4c) + -5 = 17c + 5 (-1 * 5 + 4c * 5) + -5 = 17c + 5 (-5 + 20c) + -5 = 17c + 5 Reorder the terms: -5 + -5 + 20c = 17c + 5 Combine like terms: -5 + -5 = -10 -10 + 20c = 17c + 5 Reorder the terms: -10 + 20c = 5 + 17c Solving -10 + 20c = 5 + 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. -10 + 20c + -17c = 5 + 17c + -17c Combine like terms: 20c + -17c = 3c -10 + 3c = 5 + 17c + -17c Combine like terms: 17c + -17c = 0 -10 + 3c = 5 + 0 -10 + 3c = 5 Add '10' to each side of the equation. -10 + 10 + 3c = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 3c = 5 + 10 3c = 5 + 10 Combine like terms: 5 + 10 = 15 3c = 15 Divide each side by '3'. c = 5 Simplifying c = 5
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