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Simplifying 17(9c + -1) + -8 = 151c + 17 Reorder the terms: 17(-1 + 9c) + -8 = 151c + 17 (-1 * 17 + 9c * 17) + -8 = 151c + 17 (-17 + 153c) + -8 = 151c + 17 Reorder the terms: -17 + -8 + 153c = 151c + 17 Combine like terms: -17 + -8 = -25 -25 + 153c = 151c + 17 Reorder the terms: -25 + 153c = 17 + 151c Solving -25 + 153c = 17 + 151c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-151c' to each side of the equation. -25 + 153c + -151c = 17 + 151c + -151c Combine like terms: 153c + -151c = 2c -25 + 2c = 17 + 151c + -151c Combine like terms: 151c + -151c = 0 -25 + 2c = 17 + 0 -25 + 2c = 17 Add '25' to each side of the equation. -25 + 25 + 2c = 17 + 25 Combine like terms: -25 + 25 = 0 0 + 2c = 17 + 25 2c = 17 + 25 Combine like terms: 17 + 25 = 42 2c = 42 Divide each side by '2'. c = 21 Simplifying c = 21
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