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Simplifying -25 + 8k = 5(3 + 4K) + -4 -25 + 8k = (3 * 5 + 4K * 5) + -4 -25 + 8k = (15 + 20K) + -4 Reorder the terms: -25 + 8k = 15 + -4 + 20K Combine like terms: 15 + -4 = 11 -25 + 8k = 11 + 20K Solving -25 + 8k = 11 + 20K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 8k = 11 + 25 + 20K Combine like terms: -25 + 25 = 0 0 + 8k = 11 + 25 + 20K 8k = 11 + 25 + 20K Combine like terms: 11 + 25 = 36 8k = 36 + 20K Divide each side by '8'. k = 4.5 + 2.5K Simplifying k = 4.5 + 2.5K
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