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Simplifying 2k + 9 = 7 + -3k Reorder the terms: 9 + 2k = 7 + -3k Solving 9 + 2k = 7 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 9 + 2k + 3k = 7 + -3k + 3k Combine like terms: 2k + 3k = 5k 9 + 5k = 7 + -3k + 3k Combine like terms: -3k + 3k = 0 9 + 5k = 7 + 0 9 + 5k = 7 Add '-9' to each side of the equation. 9 + -9 + 5k = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 5k = 7 + -9 5k = 7 + -9 Combine like terms: 7 + -9 = -2 5k = -2 Divide each side by '5'. k = -0.4 Simplifying k = -0.4
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