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Simplifying 5k + -3 = 10 + -2k Reorder the terms: -3 + 5k = 10 + -2k Solving -3 + 5k = 10 + -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. -3 + 5k + 2k = 10 + -2k + 2k Combine like terms: 5k + 2k = 7k -3 + 7k = 10 + -2k + 2k Combine like terms: -2k + 2k = 0 -3 + 7k = 10 + 0 -3 + 7k = 10 Add '3' to each side of the equation. -3 + 3 + 7k = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 7k = 10 + 3 7k = 10 + 3 Combine like terms: 10 + 3 = 13 7k = 13 Divide each side by '7'. k = 1.857142857 Simplifying k = 1.857142857
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