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Simplifying 1 + -1k = -11 + k + 5 + -5 Reorder the terms: 1 + -1k = -11 + 5 + -5 + k Combine like terms: -11 + 5 = -6 1 + -1k = -6 + -5 + k Combine like terms: -6 + -5 = -11 1 + -1k = -11 + k Solving 1 + -1k = -11 + 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. 1 + -1k + -1k = -11 + k + -1k Combine like terms: -1k + -1k = -2k 1 + -2k = -11 + k + -1k Combine like terms: k + -1k = 0 1 + -2k = -11 + 0 1 + -2k = -11 Add '-1' to each side of the equation. 1 + -1 + -2k = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -2k = -11 + -1 -2k = -11 + -1 Combine like terms: -11 + -1 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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