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Simplifying 2k + 3k = 3(k + -2) Combine like terms: 2k + 3k = 5k 5k = 3(k + -2) Reorder the terms: 5k = 3(-2 + k) 5k = (-2 * 3 + k * 3) 5k = (-6 + 3k) Solving 5k = -6 + 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. 5k + -3k = -6 + 3k + -3k Combine like terms: 5k + -3k = 2k 2k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 2k = -6 + 0 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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