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Simplifying 50 = 100 + -1k Solving 50 = 100 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 50 + k = 100 + -1k + k Combine like terms: -1k + k = 0 50 + k = 100 + 0 50 + k = 100 Add '-50' to each side of the equation. 50 + -50 + k = 100 + -50 Combine like terms: 50 + -50 = 0 0 + k = 100 + -50 k = 100 + -50 Combine like terms: 100 + -50 = 50 k = 50 Simplifying k = 50
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