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Simplifying -1(9k + -8) = 30 + 6k Reorder the terms: -1(-8 + 9k) = 30 + 6k (-8 * -1 + 9k * -1) = 30 + 6k (8 + -9k) = 30 + 6k Solving 8 + -9k = 30 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 8 + -9k + -6k = 30 + 6k + -6k Combine like terms: -9k + -6k = -15k 8 + -15k = 30 + 6k + -6k Combine like terms: 6k + -6k = 0 8 + -15k = 30 + 0 8 + -15k = 30 Add '-8' to each side of the equation. 8 + -8 + -15k = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -15k = 30 + -8 -15k = 30 + -8 Combine like terms: 30 + -8 = 22 -15k = 22 Divide each side by '-15'. k = -1.466666667 Simplifying k = -1.466666667
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