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Simplifying 2(4k + -9) + -11k + 8 = 0 Reorder the terms: 2(-9 + 4k) + -11k + 8 = 0 (-9 * 2 + 4k * 2) + -11k + 8 = 0 (-18 + 8k) + -11k + 8 = 0 Reorder the terms: -18 + 8 + 8k + -11k = 0 Combine like terms: -18 + 8 = -10 -10 + 8k + -11k = 0 Combine like terms: 8k + -11k = -3k -10 + -3k = 0 Solving -10 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3k = 0 + 10 -3k = 0 + 10 Combine like terms: 0 + 10 = 10 -3k = 10 Divide each side by '-3'. k = -3.333333333 Simplifying k = -3.333333333
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