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Simplifying k + 8 = 4 + 2k + 2 + 7 Reorder the terms: 8 + k = 4 + 2k + 2 + 7 Reorder the terms: 8 + k = 4 + 2 + 7 + 2k Combine like terms: 4 + 2 = 6 8 + k = 6 + 7 + 2k Combine like terms: 6 + 7 = 13 8 + k = 13 + 2k Solving 8 + k = 13 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 8 + k + -2k = 13 + 2k + -2k Combine like terms: k + -2k = -1k 8 + -1k = 13 + 2k + -2k Combine like terms: 2k + -2k = 0 8 + -1k = 13 + 0 8 + -1k = 13 Add '-8' to each side of the equation. 8 + -8 + -1k = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 13 + -8 -1k = 13 + -8 Combine like terms: 13 + -8 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5
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