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Simplifying 10(10 + k) = 270 (10 * 10 + k * 10) = 270 (100 + 10k) = 270 Solving 100 + 10k = 270 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 = 270 + -100 Combine like terms: 100 + -100 = 0 0 + 10k = 270 + -100 10k = 270 + -100 Combine like terms: 270 + -100 = 170 10k = 170 Divide each side by '10'. k = 17 Simplifying k = 17
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