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Simplifying 6(5 + c) = 5(c + 4) (5 * 6 + c * 6) = 5(c + 4) (30 + 6c) = 5(c + 4) Reorder the terms: 30 + 6c = 5(4 + c) 30 + 6c = (4 * 5 + c * 5) 30 + 6c = (20 + 5c) Solving 30 + 6c = 20 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 30 + 6c + -5c = 20 + 5c + -5c Combine like terms: 6c + -5c = 1c 30 + 1c = 20 + 5c + -5c Combine like terms: 5c + -5c = 0 30 + 1c = 20 + 0 30 + 1c = 20 Add '-30' to each side of the equation. 30 + -30 + 1c = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 1c = 20 + -30 1c = 20 + -30 Combine like terms: 20 + -30 = -10 1c = -10 Divide each side by '1'. c = -10 Simplifying c = -10
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