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Simplifying 0.10(k + 20) = 100 Reorder the terms: 0.10(20 + k) = 100 (20 * 0.10 + k * 0.10) = 100 (2 + 0.10k) = 100 Solving 2 + 0.10k = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.10k = 100 + -2 Combine like terms: 2 + -2 = 0 0 + 0.10k = 100 + -2 0.10k = 100 + -2 Combine like terms: 100 + -2 = 98 0.10k = 98 Divide each side by '0.10'. k = 980 Simplifying k = 980
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