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Simplifying 4k + 3 = 2 + -3k Reorder the terms: 3 + 4k = 2 + -3k Solving 3 + 4k = 2 + -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. 3 + 4k + 3k = 2 + -3k + 3k Combine like terms: 4k + 3k = 7k 3 + 7k = 2 + -3k + 3k Combine like terms: -3k + 3k = 0 3 + 7k = 2 + 0 3 + 7k = 2 Add '-3' to each side of the equation. 3 + -3 + 7k = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 7k = 2 + -3 7k = 2 + -3 Combine like terms: 2 + -3 = -1 7k = -1 Divide each side by '7'. k = -0.1428571429 Simplifying k = -0.1428571429
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