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Simplifying 10(k + 10) = 50 Reorder the terms: 10(10 + k) = 50 (10 * 10 + k * 10) = 50 (100 + 10k) = 50 Solving 100 + 10k = 50 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 10k = 50 + -100 Combine like terms: 100 + -100 = 0 0 + 10k = 50 + -100 10k = 50 + -100 Combine like terms: 50 + -100 = -50 10k = -50 Divide each side by '10'. k = -5 Simplifying k = -5
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