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Simplifying 2 + 3k = -4k + 9 Reorder the terms: 2 + 3k = 9 + -4k Solving 2 + 3k = 9 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 2 + 3k + 4k = 9 + -4k + 4k Combine like terms: 3k + 4k = 7k 2 + 7k = 9 + -4k + 4k Combine like terms: -4k + 4k = 0 2 + 7k = 9 + 0 2 + 7k = 9 Add '-2' to each side of the equation. 2 + -2 + 7k = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 9 + -2 7k = 9 + -2 Combine like terms: 9 + -2 = 7 7k = 7 Divide each side by '7'. k = 1 Simplifying k = 1
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