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Simplifying 7k + 8.5 = k + 19 Reorder the terms: 8.5 + 7k = k + 19 Reorder the terms: 8.5 + 7k = 19 + k Solving 8.5 + 7k = 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. 8.5 + 7k + -1k = 19 + k + -1k Combine like terms: 7k + -1k = 6k 8.5 + 6k = 19 + k + -1k Combine like terms: k + -1k = 0 8.5 + 6k = 19 + 0 8.5 + 6k = 19 Add '-8.5' to each side of the equation. 8.5 + -8.5 + 6k = 19 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 6k = 19 + -8.5 6k = 19 + -8.5 Combine like terms: 19 + -8.5 = 10.5 6k = 10.5 Divide each side by '6'. k = 1.75 Simplifying k = 1.75
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