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Simplifying 17(7c + -1) + -12 = 117c + 17 Reorder the terms: 17(-1 + 7c) + -12 = 117c + 17 (-1 * 17 + 7c * 17) + -12 = 117c + 17 (-17 + 119c) + -12 = 117c + 17 Reorder the terms: -17 + -12 + 119c = 117c + 17 Combine like terms: -17 + -12 = -29 -29 + 119c = 117c + 17 Reorder the terms: -29 + 119c = 17 + 117c Solving -29 + 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. -29 + 119c + -117c = 17 + 117c + -117c Combine like terms: 119c + -117c = 2c -29 + 2c = 17 + 117c + -117c Combine like terms: 117c + -117c = 0 -29 + 2c = 17 + 0 -29 + 2c = 17 Add '29' to each side of the equation. -29 + 29 + 2c = 17 + 29 Combine like terms: -29 + 29 = 0 0 + 2c = 17 + 29 2c = 17 + 29 Combine like terms: 17 + 29 = 46 2c = 46 Divide each side by '2'. c = 23 Simplifying c = 23
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