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Simplifying -1(2 + -9k) = -1.5 + 6k (2 * -1 + -9k * -1) = -1.5 + 6k (-2 + 9k) = -1.5 + 6k Solving -2 + 9k = -1.5 + 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. -2 + 9k + -6k = -1.5 + 6k + -6k Combine like terms: 9k + -6k = 3k -2 + 3k = -1.5 + 6k + -6k Combine like terms: 6k + -6k = 0 -2 + 3k = -1.5 + 0 -2 + 3k = -1.5 Add '2' to each side of the equation. -2 + 2 + 3k = -1.5 + 2 Combine like terms: -2 + 2 = 0 0 + 3k = -1.5 + 2 3k = -1.5 + 2 Combine like terms: -1.5 + 2 = 0.5 3k = 0.5 Divide each side by '3'. k = 0.1666666667 Simplifying k = 0.1666666667
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