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Simplifying 140 = 2(50 + -1k) + 4k 140 = (50 * 2 + -1k * 2) + 4k 140 = (100 + -2k) + 4k Combine like terms: -2k + 4k = 2k 140 = 100 + 2k Solving 140 = 100 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 140 + -2k = 100 + 2k + -2k Combine like terms: 2k + -2k = 0 140 + -2k = 100 + 0 140 + -2k = 100 Add '-140' to each side of the equation. 140 + -140 + -2k = 100 + -140 Combine like terms: 140 + -140 = 0 0 + -2k = 100 + -140 -2k = 100 + -140 Combine like terms: 100 + -140 = -40 -2k = -40 Divide each side by '-2'. k = 20 Simplifying k = 20
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