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