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Simplifying 13c + 5(c + 3) = 33 Reorder the terms: 13c + 5(3 + c) = 33 13c + (3 * 5 + c * 5) = 33 13c + (15 + 5c) = 33 Reorder the terms: 15 + 13c + 5c = 33 Combine like terms: 13c + 5c = 18c 15 + 18c = 33 Solving 15 + 18c = 33 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 18c = 33 + -15 Combine like terms: 15 + -15 = 0 0 + 18c = 33 + -15 18c = 33 + -15 Combine like terms: 33 + -15 = 18 18c = 18 Divide each side by '18'. c = 1 Simplifying c = 1
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