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Simplifying 4(5c + -1) + -1 = 17c + 4 Reorder the terms: 4(-1 + 5c) + -1 = 17c + 4 (-1 * 4 + 5c * 4) + -1 = 17c + 4 (-4 + 20c) + -1 = 17c + 4 Reorder the terms: -4 + -1 + 20c = 17c + 4 Combine like terms: -4 + -1 = -5 -5 + 20c = 17c + 4 Reorder the terms: -5 + 20c = 4 + 17c Solving -5 + 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. -5 + 20c + -17c = 4 + 17c + -17c Combine like terms: 20c + -17c = 3c -5 + 3c = 4 + 17c + -17c Combine like terms: 17c + -17c = 0 -5 + 3c = 4 + 0 -5 + 3c = 4 Add '5' to each side of the equation. -5 + 5 + 3c = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 3c = 4 + 5 3c = 4 + 5 Combine like terms: 4 + 5 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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