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Simplifying 8 + 9k + 4(11 + -2k) = 0 8 + 9k + (11 * 4 + -2k * 4) = 0 8 + 9k + (44 + -8k) = 0 Reorder the terms: 8 + 44 + 9k + -8k = 0 Combine like terms: 8 + 44 = 52 52 + 9k + -8k = 0 Combine like terms: 9k + -8k = 1k 52 + 1k = 0 Solving 52 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 1k = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 1k = 0 + -52 1k = 0 + -52 Combine like terms: 0 + -52 = -52 1k = -52 Divide each side by '1'. k = -52 Simplifying k = -52
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