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Simplifying 2(4k + 3) + -11k + 8 + 2 = 0 Reorder the terms: 2(3 + 4k) + -11k + 8 + 2 = 0 (3 * 2 + 4k * 2) + -11k + 8 + 2 = 0 (6 + 8k) + -11k + 8 + 2 = 0 Reorder the terms: 6 + 8 + 2 + 8k + -11k = 0 Combine like terms: 6 + 8 = 14 14 + 2 + 8k + -11k = 0 Combine like terms: 14 + 2 = 16 16 + 8k + -11k = 0 Combine like terms: 8k + -11k = -3k 16 + -3k = 0 Solving 16 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3k = 0 + -16 -3k = 0 + -16 Combine like terms: 0 + -16 = -16 -3k = -16 Divide each side by '-3'. k = 5.333333333 Simplifying k = 5.333333333
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