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Simplifying 2k + 3(k + 2) = 0 Reorder the terms: 2k + 3(2 + k) = 0 2k + (2 * 3 + k * 3) = 0 2k + (6 + 3k) = 0 Reorder the terms: 6 + 2k + 3k = 0 Combine like terms: 2k + 3k = 5k 6 + 5k = 0 Solving 6 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5k = 0 + -6 5k = 0 + -6 Combine like terms: 0 + -6 = -6 5k = -6 Divide each side by '5'. k = -1.2 Simplifying k = -1.2
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