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Simplifying 100000 = (2k + 10000) + k Reorder the terms: 100000 = (10000 + 2k) + k Remove parenthesis around (10000 + 2k) 100000 = 10000 + 2k + k Combine like terms: 2k + k = 3k 100000 = 10000 + 3k Solving 100000 = 10000 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 100000 + -3k = 10000 + 3k + -3k Combine like terms: 3k + -3k = 0 100000 + -3k = 10000 + 0 100000 + -3k = 10000 Add '-100000' to each side of the equation. 100000 + -100000 + -3k = 10000 + -100000 Combine like terms: 100000 + -100000 = 0 0 + -3k = 10000 + -100000 -3k = 10000 + -100000 Combine like terms: 10000 + -100000 = -90000 -3k = -90000 Divide each side by '-3'. k = 30000 Simplifying k = 30000
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