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Simplifying (11 + -1k) + (16 + -1k) = 19 Remove parenthesis around (11 + -1k) 11 + -1k + (16 + -1k) = 19 Remove parenthesis around (16 + -1k) 11 + -1k + 16 + -1k = 19 Reorder the terms: 11 + 16 + -1k + -1k = 19 Combine like terms: 11 + 16 = 27 27 + -1k + -1k = 19 Combine like terms: -1k + -1k = -2k 27 + -2k = 19 Solving 27 + -2k = 19 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -2k = 19 + -27 Combine like terms: 27 + -27 = 0 0 + -2k = 19 + -27 -2k = 19 + -27 Combine like terms: 19 + -27 = -8 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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