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Simplifying 9 + 2k = 4k + 5 Reorder the terms: 9 + 2k = 5 + 4k Solving 9 + 2k = 5 + 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. 9 + 2k + -4k = 5 + 4k + -4k Combine like terms: 2k + -4k = -2k 9 + -2k = 5 + 4k + -4k Combine like terms: 4k + -4k = 0 9 + -2k = 5 + 0 9 + -2k = 5 Add '-9' to each side of the equation. 9 + -9 + -2k = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -2k = 5 + -9 -2k = 5 + -9 Combine like terms: 5 + -9 = -4 -2k = -4 Divide each side by '-2'. k = 2 Simplifying k = 2
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