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Simplifying 16 + -1(k + 6) + 3k = 11.5 Reorder the terms: 16 + -1(6 + k) + 3k = 11.5 16 + (6 * -1 + k * -1) + 3k = 11.5 16 + (-6 + -1k) + 3k = 11.5 Combine like terms: 16 + -6 = 10 10 + -1k + 3k = 11.5 Combine like terms: -1k + 3k = 2k 10 + 2k = 11.5 Solving 10 + 2k = 11.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2k = 11.5 + -10 Combine like terms: 10 + -10 = 0 0 + 2k = 11.5 + -10 2k = 11.5 + -10 Combine like terms: 11.5 + -10 = 1.5 2k = 1.5 Divide each side by '2'. k = 0.75 Simplifying k = 0.75
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