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Simplifying 3(8c + -1) + -14 = 22c + 3 Reorder the terms: 3(-1 + 8c) + -14 = 22c + 3 (-1 * 3 + 8c * 3) + -14 = 22c + 3 (-3 + 24c) + -14 = 22c + 3 Reorder the terms: -3 + -14 + 24c = 22c + 3 Combine like terms: -3 + -14 = -17 -17 + 24c = 22c + 3 Reorder the terms: -17 + 24c = 3 + 22c Solving -17 + 24c = 3 + 22c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22c' to each side of the equation. -17 + 24c + -22c = 3 + 22c + -22c Combine like terms: 24c + -22c = 2c -17 + 2c = 3 + 22c + -22c Combine like terms: 22c + -22c = 0 -17 + 2c = 3 + 0 -17 + 2c = 3 Add '17' to each side of the equation. -17 + 17 + 2c = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 2c = 3 + 17 2c = 3 + 17 Combine like terms: 3 + 17 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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