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Simplifying 4(c + 6) = 6 + c Reorder the terms: 4(6 + c) = 6 + c (6 * 4 + c * 4) = 6 + c (24 + 4c) = 6 + c Solving 24 + 4c = 6 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 24 + 4c + -1c = 6 + c + -1c Combine like terms: 4c + -1c = 3c 24 + 3c = 6 + c + -1c Combine like terms: c + -1c = 0 24 + 3c = 6 + 0 24 + 3c = 6 Add '-24' to each side of the equation. 24 + -24 + 3c = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 3c = 6 + -24 3c = 6 + -24 Combine like terms: 6 + -24 = -18 3c = -18 Divide each side by '3'. c = -6 Simplifying c = -6
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