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Simplifying 3(1 + 5k) = 24 + 8k (1 * 3 + 5k * 3) = 24 + 8k (3 + 15k) = 24 + 8k Solving 3 + 15k = 24 + 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. 3 + 15k + -8k = 24 + 8k + -8k Combine like terms: 15k + -8k = 7k 3 + 7k = 24 + 8k + -8k Combine like terms: 8k + -8k = 0 3 + 7k = 24 + 0 3 + 7k = 24 Add '-3' to each side of the equation. 3 + -3 + 7k = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 7k = 24 + -3 7k = 24 + -3 Combine like terms: 24 + -3 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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