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Simplifying 5(4c + -1) + -3 = 17c + 4 Reorder the terms: 5(-1 + 4c) + -3 = 17c + 4 (-1 * 5 + 4c * 5) + -3 = 17c + 4 (-5 + 20c) + -3 = 17c + 4 Reorder the terms: -5 + -3 + 20c = 17c + 4 Combine like terms: -5 + -3 = -8 -8 + 20c = 17c + 4 Reorder the terms: -8 + 20c = 4 + 17c Solving -8 + 20c = 4 + 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. -8 + 20c + -17c = 4 + 17c + -17c Combine like terms: 20c + -17c = 3c -8 + 3c = 4 + 17c + -17c Combine like terms: 17c + -17c = 0 -8 + 3c = 4 + 0 -8 + 3c = 4 Add '8' to each side of the equation. -8 + 8 + 3c = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 3c = 4 + 8 3c = 4 + 8 Combine like terms: 4 + 8 = 12 3c = 12 Divide each side by '3'. c = 4 Simplifying c = 4
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