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Simplifying 4(2k + 2) + 4k = 0 Reorder the terms: 4(2 + 2k) + 4k = 0 (2 * 4 + 2k * 4) + 4k = 0 (8 + 8k) + 4k = 0 Combine like terms: 8k + 4k = 12k 8 + 12k = 0 Solving 8 + 12k = 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 + 12k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 12k = 0 + -8 12k = 0 + -8 Combine like terms: 0 + -8 = -8 12k = -8 Divide each side by '12'. k = -0.6666666667 Simplifying k = -0.6666666667
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