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Simplifying 5(4 + c) = 4(c + 6) (4 * 5 + c * 5) = 4(c + 6) (20 + 5c) = 4(c + 6) Reorder the terms: 20 + 5c = 4(6 + c) 20 + 5c = (6 * 4 + c * 4) 20 + 5c = (24 + 4c) Solving 20 + 5c = 24 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 20 + 5c + -4c = 24 + 4c + -4c Combine like terms: 5c + -4c = 1c 20 + 1c = 24 + 4c + -4c Combine like terms: 4c + -4c = 0 20 + 1c = 24 + 0 20 + 1c = 24 Add '-20' to each side of the equation. 20 + -20 + 1c = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 1c = 24 + -20 1c = 24 + -20 Combine like terms: 24 + -20 = 4 1c = 4 Divide each side by '1'. c = 4 Simplifying c = 4
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