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Simplifying 7x + 2k = 9x + -5k Reorder the terms: 2k + 7x = 9x + -5k Reorder the terms: 2k + 7x = -5k + 9x Solving 2k + 7x = -5k + 9x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 2k + 5k + 7x = -5k + 5k + 9x Combine like terms: 2k + 5k = 7k 7k + 7x = -5k + 5k + 9x Combine like terms: -5k + 5k = 0 7k + 7x = 0 + 9x 7k + 7x = 9x Add '-7x' to each side of the equation. 7k + 7x + -7x = 9x + -7x Combine like terms: 7x + -7x = 0 7k + 0 = 9x + -7x 7k = 9x + -7x Combine like terms: 9x + -7x = 2x 7k = 2x Divide each side by '7'. k = 0.2857142857x Simplifying k = 0.2857142857x
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