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Simplifying 2(4 + k) + 3k = 0 (4 * 2 + k * 2) + 3k = 0 (8 + 2k) + 3k = 0 Combine like terms: 2k + 3k = 5k 8 + 5k = 0 Solving 8 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5k = 0 + -8 5k = 0 + -8 Combine like terms: 0 + -8 = -8 5k = -8 Divide each side by '5'. k = -1.6 Simplifying k = -1.6
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