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Simplifying 3(5c + 3) = 4(c + 5) Reorder the terms: 3(3 + 5c) = 4(c + 5) (3 * 3 + 5c * 3) = 4(c + 5) (9 + 15c) = 4(c + 5) Reorder the terms: 9 + 15c = 4(5 + c) 9 + 15c = (5 * 4 + c * 4) 9 + 15c = (20 + 4c) Solving 9 + 15c = 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. 9 + 15c + -4c = 20 + 4c + -4c Combine like terms: 15c + -4c = 11c 9 + 11c = 20 + 4c + -4c Combine like terms: 4c + -4c = 0 9 + 11c = 20 + 0 9 + 11c = 20 Add '-9' to each side of the equation. 9 + -9 + 11c = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 11c = 20 + -9 11c = 20 + -9 Combine like terms: 20 + -9 = 11 11c = 11 Divide each side by '11'. c = 1 Simplifying c = 1
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