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Simplifying 2k + 9 = 7 + -3 + -1k Reorder the terms: 9 + 2k = 7 + -3 + -1k Combine like terms: 7 + -3 = 4 9 + 2k = 4 + -1k Solving 9 + 2k = 4 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 9 + 2k + k = 4 + -1k + k Combine like terms: 2k + k = 3k 9 + 3k = 4 + -1k + k Combine like terms: -1k + k = 0 9 + 3k = 4 + 0 9 + 3k = 4 Add '-9' to each side of the equation. 9 + -9 + 3k = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 3k = 4 + -9 3k = 4 + -9 Combine like terms: 4 + -9 = -5 3k = -5 Divide each side by '3'. k = -1.666666667 Simplifying k = -1.666666667
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