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Simplifying 4k + 9 = 2k + 15 Reorder the terms: 9 + 4k = 2k + 15 Reorder the terms: 9 + 4k = 15 + 2k Solving 9 + 4k = 15 + 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. 9 + 4k + -2k = 15 + 2k + -2k Combine like terms: 4k + -2k = 2k 9 + 2k = 15 + 2k + -2k Combine like terms: 2k + -2k = 0 9 + 2k = 15 + 0 9 + 2k = 15 Add '-9' to each side of the equation. 9 + -9 + 2k = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 2k = 15 + -9 2k = 15 + -9 Combine like terms: 15 + -9 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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