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Simplifying 6(4c + -1) + -16 = 22c + 6 Reorder the terms: 6(-1 + 4c) + -16 = 22c + 6 (-1 * 6 + 4c * 6) + -16 = 22c + 6 (-6 + 24c) + -16 = 22c + 6 Reorder the terms: -6 + -16 + 24c = 22c + 6 Combine like terms: -6 + -16 = -22 -22 + 24c = 22c + 6 Reorder the terms: -22 + 24c = 6 + 22c Solving -22 + 24c = 6 + 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. -22 + 24c + -22c = 6 + 22c + -22c Combine like terms: 24c + -22c = 2c -22 + 2c = 6 + 22c + -22c Combine like terms: 22c + -22c = 0 -22 + 2c = 6 + 0 -22 + 2c = 6 Add '22' to each side of the equation. -22 + 22 + 2c = 6 + 22 Combine like terms: -22 + 22 = 0 0 + 2c = 6 + 22 2c = 6 + 22 Combine like terms: 6 + 22 = 28 2c = 28 Divide each side by '2'. c = 14 Simplifying c = 14
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