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Simplifying 17(7c + -1) + -10 = 117c + 17 Reorder the terms: 17(-1 + 7c) + -10 = 117c + 17 (-1 * 17 + 7c * 17) + -10 = 117c + 17 (-17 + 119c) + -10 = 117c + 17 Reorder the terms: -17 + -10 + 119c = 117c + 17 Combine like terms: -17 + -10 = -27 -27 + 119c = 117c + 17 Reorder the terms: -27 + 119c = 17 + 117c Solving -27 + 119c = 17 + 117c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-117c' to each side of the equation. -27 + 119c + -117c = 17 + 117c + -117c Combine like terms: 119c + -117c = 2c -27 + 2c = 17 + 117c + -117c Combine like terms: 117c + -117c = 0 -27 + 2c = 17 + 0 -27 + 2c = 17 Add '27' to each side of the equation. -27 + 27 + 2c = 17 + 27 Combine like terms: -27 + 27 = 0 0 + 2c = 17 + 27 2c = 17 + 27 Combine like terms: 17 + 27 = 44 2c = 44 Divide each side by '2'. c = 22 Simplifying c = 22
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