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Simplifying 17(15c + -1) + -8 = 83c + 17 Reorder the terms: 17(-1 + 15c) + -8 = 83c + 17 (-1 * 17 + 15c * 17) + -8 = 83c + 17 (-17 + 255c) + -8 = 83c + 17 Reorder the terms: -17 + -8 + 255c = 83c + 17 Combine like terms: -17 + -8 = -25 -25 + 255c = 83c + 17 Reorder the terms: -25 + 255c = 17 + 83c Solving -25 + 255c = 17 + 83c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-83c' to each side of the equation. -25 + 255c + -83c = 17 + 83c + -83c Combine like terms: 255c + -83c = 172c -25 + 172c = 17 + 83c + -83c Combine like terms: 83c + -83c = 0 -25 + 172c = 17 + 0 -25 + 172c = 17 Add '25' to each side of the equation. -25 + 25 + 172c = 17 + 25 Combine like terms: -25 + 25 = 0 0 + 172c = 17 + 25 172c = 17 + 25 Combine like terms: 17 + 25 = 42 172c = 42 Divide each side by '172'. c = 0.2441860465 Simplifying c = 0.2441860465
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