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Simplifying -2k + 4 = k + -5 + -6 Reorder the terms: 4 + -2k = k + -5 + -6 Reorder the terms: 4 + -2k = -5 + -6 + k Combine like terms: -5 + -6 = -11 4 + -2k = -11 + k Solving 4 + -2k = -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. 4 + -2k + -1k = -11 + k + -1k Combine like terms: -2k + -1k = -3k 4 + -3k = -11 + k + -1k Combine like terms: k + -1k = 0 4 + -3k = -11 + 0 4 + -3k = -11 Add '-4' to each side of the equation. 4 + -4 + -3k = -11 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = -11 + -4 -3k = -11 + -4 Combine like terms: -11 + -4 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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