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Simplifying 10k + -7 + 12 = 3k + 8 + -2 Reorder the terms: -7 + 12 + 10k = 3k + 8 + -2 Combine like terms: -7 + 12 = 5 5 + 10k = 3k + 8 + -2 Reorder the terms: 5 + 10k = 8 + -2 + 3k Combine like terms: 8 + -2 = 6 5 + 10k = 6 + 3k Solving 5 + 10k = 6 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 5 + 10k + -3k = 6 + 3k + -3k Combine like terms: 10k + -3k = 7k 5 + 7k = 6 + 3k + -3k Combine like terms: 3k + -3k = 0 5 + 7k = 6 + 0 5 + 7k = 6 Add '-5' to each side of the equation. 5 + -5 + 7k = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 7k = 6 + -5 7k = 6 + -5 Combine like terms: 6 + -5 = 1 7k = 1 Divide each side by '7'. k = 0.1428571429 Simplifying k = 0.1428571429
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