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Simplifying 8 + -1k = k + -6 Reorder the terms: 8 + -1k = -6 + k Solving 8 + -1k = -6 + 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. 8 + -1k + -1k = -6 + k + -1k Combine like terms: -1k + -1k = -2k 8 + -2k = -6 + k + -1k Combine like terms: k + -1k = 0 8 + -2k = -6 + 0 8 + -2k = -6 Add '-8' to each side of the equation. 8 + -8 + -2k = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2k = -6 + -8 -2k = -6 + -8 Combine like terms: -6 + -8 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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