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Simplifying 17 + -1c + 14 = -3(-3c + 20) + -19 Reorder the terms: 17 + 14 + -1c = -3(-3c + 20) + -19 Combine like terms: 17 + 14 = 31 31 + -1c = -3(-3c + 20) + -19 Reorder the terms: 31 + -1c = -3(20 + -3c) + -19 31 + -1c = (20 * -3 + -3c * -3) + -19 31 + -1c = (-60 + 9c) + -19 Reorder the terms: 31 + -1c = -60 + -19 + 9c Combine like terms: -60 + -19 = -79 31 + -1c = -79 + 9c Solving 31 + -1c = -79 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 31 + -1c + -9c = -79 + 9c + -9c Combine like terms: -1c + -9c = -10c 31 + -10c = -79 + 9c + -9c Combine like terms: 9c + -9c = 0 31 + -10c = -79 + 0 31 + -10c = -79 Add '-31' to each side of the equation. 31 + -31 + -10c = -79 + -31 Combine like terms: 31 + -31 = 0 0 + -10c = -79 + -31 -10c = -79 + -31 Combine like terms: -79 + -31 = -110 -10c = -110 Divide each side by '-10'. c = 11 Simplifying c = 11
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