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Simplifying 2 + 5k = 1 + -2k Solving 2 + 5k = 1 + -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. 2 + 5k + 2k = 1 + -2k + 2k Combine like terms: 5k + 2k = 7k 2 + 7k = 1 + -2k + 2k Combine like terms: -2k + 2k = 0 2 + 7k = 1 + 0 2 + 7k = 1 Add '-2' to each side of the equation. 2 + -2 + 7k = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 1 + -2 7k = 1 + -2 Combine like terms: 1 + -2 = -1 7k = -1 Divide each side by '7'. k = -0.1428571429 Simplifying k = -0.1428571429
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