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Simplifying 3(8c + -1) + -16 = 22c + 3 Reorder the terms: 3(-1 + 8c) + -16 = 22c + 3 (-1 * 3 + 8c * 3) + -16 = 22c + 3 (-3 + 24c) + -16 = 22c + 3 Reorder the terms: -3 + -16 + 24c = 22c + 3 Combine like terms: -3 + -16 = -19 -19 + 24c = 22c + 3 Reorder the terms: -19 + 24c = 3 + 22c Solving -19 + 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. -19 + 24c + -22c = 3 + 22c + -22c Combine like terms: 24c + -22c = 2c -19 + 2c = 3 + 22c + -22c Combine like terms: 22c + -22c = 0 -19 + 2c = 3 + 0 -19 + 2c = 3 Add '19' to each side of the equation. -19 + 19 + 2c = 3 + 19 Combine like terms: -19 + 19 = 0 0 + 2c = 3 + 19 2c = 3 + 19 Combine like terms: 3 + 19 = 22 2c = 22 Divide each side by '2'. c = 11 Simplifying c = 11
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