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Simplifying 0.33(12k + 9) + -1(k + -3) = 0 Reorder the terms: 0.33(9 + 12k) + -1(k + -3) = 0 (9 * 0.33 + 12k * 0.33) + -1(k + -3) = 0 (2.97 + 3.96k) + -1(k + -3) = 0 Reorder the terms: 2.97 + 3.96k + -1(-3 + k) = 0 2.97 + 3.96k + (-3 * -1 + k * -1) = 0 2.97 + 3.96k + (3 + -1k) = 0 Reorder the terms: 2.97 + 3 + 3.96k + -1k = 0 Combine like terms: 2.97 + 3 = 5.97 5.97 + 3.96k + -1k = 0 Combine like terms: 3.96k + -1k = 2.96k 5.97 + 2.96k = 0 Solving 5.97 + 2.96k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.97' to each side of the equation. 5.97 + -5.97 + 2.96k = 0 + -5.97 Combine like terms: 5.97 + -5.97 = 0.00 0.00 + 2.96k = 0 + -5.97 2.96k = 0 + -5.97 Combine like terms: 0 + -5.97 = -5.97 2.96k = -5.97 Divide each side by '2.96'. k = -2.016891892 Simplifying k = -2.016891892
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