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Simplifying 7k + 3.9 = k + 10 Reorder the terms: 3.9 + 7k = k + 10 Reorder the terms: 3.9 + 7k = 10 + k Solving 3.9 + 7k = 10 + 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. 3.9 + 7k + -1k = 10 + k + -1k Combine like terms: 7k + -1k = 6k 3.9 + 6k = 10 + k + -1k Combine like terms: k + -1k = 0 3.9 + 6k = 10 + 0 3.9 + 6k = 10 Add '-3.9' to each side of the equation. 3.9 + -3.9 + 6k = 10 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + 6k = 10 + -3.9 6k = 10 + -3.9 Combine like terms: 10 + -3.9 = 6.1 6k = 6.1 Divide each side by '6'. k = 1.016666667 Simplifying k = 1.016666667
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