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Simplifying 8(k + 3) + 7k + -24 = 75 Reorder the terms: 8(3 + k) + 7k + -24 = 75 (3 * 8 + k * 8) + 7k + -24 = 75 (24 + 8k) + 7k + -24 = 75 Reorder the terms: 24 + -24 + 8k + 7k = 75 Combine like terms: 24 + -24 = 0 0 + 8k + 7k = 75 8k + 7k = 75 Combine like terms: 8k + 7k = 15k 15k = 75 Solving 15k = 75 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '15'. k = 5 Simplifying k = 5
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