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Simplifying k + 8 = 16 + -1k + 4k Reorder the terms: 8 + k = 16 + -1k + 4k Combine like terms: -1k + 4k = 3k 8 + k = 16 + 3k Solving 8 + k = 16 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 8 + k + -3k = 16 + 3k + -3k Combine like terms: k + -3k = -2k 8 + -2k = 16 + 3k + -3k Combine like terms: 3k + -3k = 0 8 + -2k = 16 + 0 8 + -2k = 16 Add '-8' to each side of the equation. 8 + -8 + -2k = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -2k = 16 + -8 -2k = 16 + -8 Combine like terms: 16 + -8 = 8 -2k = 8 Divide each side by '-2'. k = -4 Simplifying k = -4
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