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Simplifying 8k + 9.5 = k + 16 Reorder the terms: 9.5 + 8k = k + 16 Reorder the terms: 9.5 + 8k = 16 + k Solving 9.5 + 8k = 16 + 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. 9.5 + 8k + -1k = 16 + k + -1k Combine like terms: 8k + -1k = 7k 9.5 + 7k = 16 + k + -1k Combine like terms: k + -1k = 0 9.5 + 7k = 16 + 0 9.5 + 7k = 16 Add '-9.5' to each side of the equation. 9.5 + -9.5 + 7k = 16 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 7k = 16 + -9.5 7k = 16 + -9.5 Combine like terms: 16 + -9.5 = 6.5 7k = 6.5 Divide each side by '7'. k = 0.9285714286 Simplifying k = 0.9285714286
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