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Simplifying 5(5c + 3) = 4(c + 5) Reorder the terms: 5(3 + 5c) = 4(c + 5) (3 * 5 + 5c * 5) = 4(c + 5) (15 + 25c) = 4(c + 5) Reorder the terms: 15 + 25c = 4(5 + c) 15 + 25c = (5 * 4 + c * 4) 15 + 25c = (20 + 4c) Solving 15 + 25c = 20 + 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. 15 + 25c + -4c = 20 + 4c + -4c Combine like terms: 25c + -4c = 21c 15 + 21c = 20 + 4c + -4c Combine like terms: 4c + -4c = 0 15 + 21c = 20 + 0 15 + 21c = 20 Add '-15' to each side of the equation. 15 + -15 + 21c = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 21c = 20 + -15 21c = 20 + -15 Combine like terms: 20 + -15 = 5 21c = 5 Divide each side by '21'. c = 0.2380952381 Simplifying c = 0.2380952381
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