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Simplifying 2k + 3 = 5k + -9 Reorder the terms: 3 + 2k = 5k + -9 Reorder the terms: 3 + 2k = -9 + 5k Solving 3 + 2k = -9 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 3 + 2k + -5k = -9 + 5k + -5k Combine like terms: 2k + -5k = -3k 3 + -3k = -9 + 5k + -5k Combine like terms: 5k + -5k = 0 3 + -3k = -9 + 0 3 + -3k = -9 Add '-3' to each side of the equation. 3 + -3 + -3k = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3k = -9 + -3 -3k = -9 + -3 Combine like terms: -9 + -3 = -12 -3k = -12 Divide each side by '-3'. k = 4 Simplifying k = 4
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