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Simplifying 4(6c + 1) + -18 = 22c + 2 Reorder the terms: 4(1 + 6c) + -18 = 22c + 2 (1 * 4 + 6c * 4) + -18 = 22c + 2 (4 + 24c) + -18 = 22c + 2 Reorder the terms: 4 + -18 + 24c = 22c + 2 Combine like terms: 4 + -18 = -14 -14 + 24c = 22c + 2 Reorder the terms: -14 + 24c = 2 + 22c Solving -14 + 24c = 2 + 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. -14 + 24c + -22c = 2 + 22c + -22c Combine like terms: 24c + -22c = 2c -14 + 2c = 2 + 22c + -22c Combine like terms: 22c + -22c = 0 -14 + 2c = 2 + 0 -14 + 2c = 2 Add '14' to each side of the equation. -14 + 14 + 2c = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 2c = 2 + 14 2c = 2 + 14 Combine like terms: 2 + 14 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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