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Simplifying 17(16c + -1) + -14 = 100c + 17 Reorder the terms: 17(-1 + 16c) + -14 = 100c + 17 (-1 * 17 + 16c * 17) + -14 = 100c + 17 (-17 + 272c) + -14 = 100c + 17 Reorder the terms: -17 + -14 + 272c = 100c + 17 Combine like terms: -17 + -14 = -31 -31 + 272c = 100c + 17 Reorder the terms: -31 + 272c = 17 + 100c Solving -31 + 272c = 17 + 100c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-100c' to each side of the equation. -31 + 272c + -100c = 17 + 100c + -100c Combine like terms: 272c + -100c = 172c -31 + 172c = 17 + 100c + -100c Combine like terms: 100c + -100c = 0 -31 + 172c = 17 + 0 -31 + 172c = 17 Add '31' to each side of the equation. -31 + 31 + 172c = 17 + 31 Combine like terms: -31 + 31 = 0 0 + 172c = 17 + 31 172c = 17 + 31 Combine like terms: 17 + 31 = 48 172c = 48 Divide each side by '172'. c = 0.2790697674 Simplifying c = 0.2790697674
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