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Simplifying 5(3k + 3) = 36 + 8k Reorder the terms: 5(3 + 3k) = 36 + 8k (3 * 5 + 3k * 5) = 36 + 8k (15 + 15k) = 36 + 8k Solving 15 + 15k = 36 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 15 + 15k + -8k = 36 + 8k + -8k Combine like terms: 15k + -8k = 7k 15 + 7k = 36 + 8k + -8k Combine like terms: 8k + -8k = 0 15 + 7k = 36 + 0 15 + 7k = 36 Add '-15' to each side of the equation. 15 + -15 + 7k = 36 + -15 Combine like terms: 15 + -15 = 0 0 + 7k = 36 + -15 7k = 36 + -15 Combine like terms: 36 + -15 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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