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Simplifying 1.5(-3k + 2) = 0 Reorder the terms: 1.5(2 + -3k) = 0 (2 * 1.5 + -3k * 1.5) = 0 (3 + -4.5k) = 0 Solving 3 + -4.5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4.5k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4.5k = 0 + -3 -4.5k = 0 + -3 Combine like terms: 0 + -3 = -3 -4.5k = -3 Divide each side by '-4.5'. k = 0.6666666667 Simplifying k = 0.6666666667
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