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Simplifying 2 + -1k = k + -8 Reorder the terms: 2 + -1k = -8 + k Solving 2 + -1k = -8 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2 + -1k + -1k = -8 + k + -1k Combine like terms: -1k + -1k = -2k 2 + -2k = -8 + k + -1k Combine like terms: k + -1k = 0 2 + -2k = -8 + 0 2 + -2k = -8 Add '-2' to each side of the equation. 2 + -2 + -2k = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2k = -8 + -2 -2k = -8 + -2 Combine like terms: -8 + -2 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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