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Simplifying 4(5c + 1) + -26 = 17c + 2 Reorder the terms: 4(1 + 5c) + -26 = 17c + 2 (1 * 4 + 5c * 4) + -26 = 17c + 2 (4 + 20c) + -26 = 17c + 2 Reorder the terms: 4 + -26 + 20c = 17c + 2 Combine like terms: 4 + -26 = -22 -22 + 20c = 17c + 2 Reorder the terms: -22 + 20c = 2 + 17c Solving -22 + 20c = 2 + 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. -22 + 20c + -17c = 2 + 17c + -17c Combine like terms: 20c + -17c = 3c -22 + 3c = 2 + 17c + -17c Combine like terms: 17c + -17c = 0 -22 + 3c = 2 + 0 -22 + 3c = 2 Add '22' to each side of the equation. -22 + 22 + 3c = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 3c = 2 + 22 3c = 2 + 22 Combine like terms: 2 + 22 = 24 3c = 24 Divide each side by '3'. c = 8 Simplifying c = 8
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