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Simplifying 8 + -1k = (k + 11) + -8 Reorder the terms: 8 + -1k = (11 + k) + -8 Remove parenthesis around (11 + k) 8 + -1k = 11 + k + -8 Reorder the terms: 8 + -1k = 11 + -8 + k Combine like terms: 11 + -8 = 3 8 + -1k = 3 + k Solving 8 + -1k = 3 + 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. 8 + -1k + -1k = 3 + k + -1k Combine like terms: -1k + -1k = -2k 8 + -2k = 3 + k + -1k Combine like terms: k + -1k = 0 8 + -2k = 3 + 0 8 + -2k = 3 Add '-8' to each side of the equation. 8 + -8 + -2k = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -2k = 3 + -8 -2k = 3 + -8 Combine like terms: 3 + -8 = -5 -2k = -5 Divide each side by '-2'. k = 2.5 Simplifying k = 2.5
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