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Simplifying 4(5c + 1) + -29 = 17c + 2 Reorder the terms: 4(1 + 5c) + -29 = 17c + 2 (1 * 4 + 5c * 4) + -29 = 17c + 2 (4 + 20c) + -29 = 17c + 2 Reorder the terms: 4 + -29 + 20c = 17c + 2 Combine like terms: 4 + -29 = -25 -25 + 20c = 17c + 2 Reorder the terms: -25 + 20c = 2 + 17c Solving -25 + 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. -25 + 20c + -17c = 2 + 17c + -17c Combine like terms: 20c + -17c = 3c -25 + 3c = 2 + 17c + -17c Combine like terms: 17c + -17c = 0 -25 + 3c = 2 + 0 -25 + 3c = 2 Add '25' to each side of the equation. -25 + 25 + 3c = 2 + 25 Combine like terms: -25 + 25 = 0 0 + 3c = 2 + 25 3c = 2 + 25 Combine like terms: 2 + 25 = 27 3c = 27 Divide each side by '3'. c = 9 Simplifying c = 9
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