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Simplifying 50 + -2k = 4k + -1k + -10 Reorder the terms: 50 + -2k = -10 + 4k + -1k Combine like terms: 4k + -1k = 3k 50 + -2k = -10 + 3k Solving 50 + -2k = -10 + 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. 50 + -2k + -3k = -10 + 3k + -3k Combine like terms: -2k + -3k = -5k 50 + -5k = -10 + 3k + -3k Combine like terms: 3k + -3k = 0 50 + -5k = -10 + 0 50 + -5k = -10 Add '-50' to each side of the equation. 50 + -50 + -5k = -10 + -50 Combine like terms: 50 + -50 = 0 0 + -5k = -10 + -50 -5k = -10 + -50 Combine like terms: -10 + -50 = -60 -5k = -60 Divide each side by '-5'. k = 12 Simplifying k = 12
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