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Simplifying 10(7c + -17) + -8 = 68c + 10 Reorder the terms: 10(-17 + 7c) + -8 = 68c + 10 (-17 * 10 + 7c * 10) + -8 = 68c + 10 (-170 + 70c) + -8 = 68c + 10 Reorder the terms: -170 + -8 + 70c = 68c + 10 Combine like terms: -170 + -8 = -178 -178 + 70c = 68c + 10 Reorder the terms: -178 + 70c = 10 + 68c Solving -178 + 70c = 10 + 68c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-68c' to each side of the equation. -178 + 70c + -68c = 10 + 68c + -68c Combine like terms: 70c + -68c = 2c -178 + 2c = 10 + 68c + -68c Combine like terms: 68c + -68c = 0 -178 + 2c = 10 + 0 -178 + 2c = 10 Add '178' to each side of the equation. -178 + 178 + 2c = 10 + 178 Combine like terms: -178 + 178 = 0 0 + 2c = 10 + 178 2c = 10 + 178 Combine like terms: 10 + 178 = 188 2c = 188 Divide each side by '2'. c = 94 Simplifying c = 94
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