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Simplifying 6k + -1k + 1 = -2 + -2k + 30 Reorder the terms: 1 + 6k + -1k = -2 + -2k + 30 Combine like terms: 6k + -1k = 5k 1 + 5k = -2 + -2k + 30 Reorder the terms: 1 + 5k = -2 + 30 + -2k Combine like terms: -2 + 30 = 28 1 + 5k = 28 + -2k Solving 1 + 5k = 28 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 1 + 5k + 2k = 28 + -2k + 2k Combine like terms: 5k + 2k = 7k 1 + 7k = 28 + -2k + 2k Combine like terms: -2k + 2k = 0 1 + 7k = 28 + 0 1 + 7k = 28 Add '-1' to each side of the equation. 1 + -1 + 7k = 28 + -1 Combine like terms: 1 + -1 = 0 0 + 7k = 28 + -1 7k = 28 + -1 Combine like terms: 28 + -1 = 27 7k = 27 Divide each side by '7'. k = 3.857142857 Simplifying k = 3.857142857
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