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Simplifying 8k + 3.5 = k + 19 Reorder the terms: 3.5 + 8k = k + 19 Reorder the terms: 3.5 + 8k = 19 + k Solving 3.5 + 8k = 19 + 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. 3.5 + 8k + -1k = 19 + k + -1k Combine like terms: 8k + -1k = 7k 3.5 + 7k = 19 + k + -1k Combine like terms: k + -1k = 0 3.5 + 7k = 19 + 0 3.5 + 7k = 19 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 7k = 19 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 7k = 19 + -3.5 7k = 19 + -3.5 Combine like terms: 19 + -3.5 = 15.5 7k = 15.5 Divide each side by '7'. k = 2.214285714 Simplifying k = 2.214285714
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