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Simplifying 2(k + 1) + 3k = 0 Reorder the terms: 2(1 + k) + 3k = 0 (1 * 2 + k * 2) + 3k = 0 (2 + 2k) + 3k = 0 Combine like terms: 2k + 3k = 5k 2 + 5k = 0 Solving 2 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5k = 0 + -2 5k = 0 + -2 Combine like terms: 0 + -2 = -2 5k = -2 Divide each side by '5'. k = -0.4 Simplifying k = -0.4
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