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Simplifying 4k + 3 + 2k = 7 + 9k Reorder the terms: 3 + 4k + 2k = 7 + 9k Combine like terms: 4k + 2k = 6k 3 + 6k = 7 + 9k Solving 3 + 6k = 7 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 3 + 6k + -9k = 7 + 9k + -9k Combine like terms: 6k + -9k = -3k 3 + -3k = 7 + 9k + -9k Combine like terms: 9k + -9k = 0 3 + -3k = 7 + 0 3 + -3k = 7 Add '-3' to each side of the equation. 3 + -3 + -3k = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -3k = 7 + -3 -3k = 7 + -3 Combine like terms: 7 + -3 = 4 -3k = 4 Divide each side by '-3'. k = -1.333333333 Simplifying k = -1.333333333
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