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Simplifying 2 + 4k = 2k + 9 Reorder the terms: 2 + 4k = 9 + 2k Solving 2 + 4k = 9 + 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 + 4k + -2k = 9 + 2k + -2k Combine like terms: 4k + -2k = 2k 2 + 2k = 9 + 2k + -2k Combine like terms: 2k + -2k = 0 2 + 2k = 9 + 0 2 + 2k = 9 Add '-2' to each side of the equation. 2 + -2 + 2k = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = 9 + -2 2k = 9 + -2 Combine like terms: 9 + -2 = 7 2k = 7 Divide each side by '2'. k = 3.5 Simplifying k = 3.5
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