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Simplifying 10 + -1k = k + -6 Reorder the terms: 10 + -1k = -6 + k Solving 10 + -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. 10 + -1k + -1k = -6 + k + -1k Combine like terms: -1k + -1k = -2k 10 + -2k = -6 + k + -1k Combine like terms: k + -1k = 0 10 + -2k = -6 + 0 10 + -2k = -6 Add '-10' to each side of the equation. 10 + -10 + -2k = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2k = -6 + -10 -2k = -6 + -10 Combine like terms: -6 + -10 = -16 -2k = -16 Divide each side by '-2'. k = 8 Simplifying k = 8
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