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Simplifying -1 + -1k + -10 = 5 + k Reorder the terms: -1 + -10 + -1k = 5 + k Combine like terms: -1 + -10 = -11 -11 + -1k = 5 + k Solving -11 + -1k = 5 + 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. -11 + -1k + -1k = 5 + k + -1k Combine like terms: -1k + -1k = -2k -11 + -2k = 5 + k + -1k Combine like terms: k + -1k = 0 -11 + -2k = 5 + 0 -11 + -2k = 5 Add '11' to each side of the equation. -11 + 11 + -2k = 5 + 11 Combine like terms: -11 + 11 = 0 0 + -2k = 5 + 11 -2k = 5 + 11 Combine like terms: 5 + 11 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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