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Simplifying 2(4k + 2) + -11k + 5 + 2 = 0 Reorder the terms: 2(2 + 4k) + -11k + 5 + 2 = 0 (2 * 2 + 4k * 2) + -11k + 5 + 2 = 0 (4 + 8k) + -11k + 5 + 2 = 0 Reorder the terms: 4 + 5 + 2 + 8k + -11k = 0 Combine like terms: 4 + 5 = 9 9 + 2 + 8k + -11k = 0 Combine like terms: 9 + 2 = 11 11 + 8k + -11k = 0 Combine like terms: 8k + -11k = -3k 11 + -3k = 0 Solving 11 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3k = 0 + -11 -3k = 0 + -11 Combine like terms: 0 + -11 = -11 -3k = -11 Divide each side by '-3'. k = 3.666666667 Simplifying k = 3.666666667
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