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Simplifying 5(k + -5) + 3k = 15 Reorder the terms: 5(-5 + k) + 3k = 15 (-5 * 5 + k * 5) + 3k = 15 (-25 + 5k) + 3k = 15 Combine like terms: 5k + 3k = 8k -25 + 8k = 15 Solving -25 + 8k = 15 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 = 15 + 25 Combine like terms: -25 + 25 = 0 0 + 8k = 15 + 25 8k = 15 + 25 Combine like terms: 15 + 25 = 40 8k = 40 Divide each side by '8'. k = 5 Simplifying k = 5
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