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Simplifying 4(c + 6) = 3c + 2 Reorder the terms: 4(6 + c) = 3c + 2 (6 * 4 + c * 4) = 3c + 2 (24 + 4c) = 3c + 2 Reorder the terms: 24 + 4c = 2 + 3c Solving 24 + 4c = 2 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 24 + 4c + -3c = 2 + 3c + -3c Combine like terms: 4c + -3c = 1c 24 + 1c = 2 + 3c + -3c Combine like terms: 3c + -3c = 0 24 + 1c = 2 + 0 24 + 1c = 2 Add '-24' to each side of the equation. 24 + -24 + 1c = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 1c = 2 + -24 1c = 2 + -24 Combine like terms: 2 + -24 = -22 1c = -22 Divide each side by '1'. c = -22 Simplifying c = -22
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