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Simplifying -10k = 20(1 + -10k) + -20 -10k = (1 * 20 + -10k * 20) + -20 -10k = (20 + -200k) + -20 Reorder the terms: -10k = 20 + -20 + -200k Combine like terms: 20 + -20 = 0 -10k = 0 + -200k -10k = -200k Solving -10k = -200k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '200k' to each side of the equation. -10k + 200k = -200k + 200k Combine like terms: -10k + 200k = 190k 190k = -200k + 200k Combine like terms: -200k + 200k = 0 190k = 0 Divide each side by '190'. k = 0 Simplifying k = 0
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