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Simplifying 9(k + -0.6) + 33 = 0 Reorder the terms: 9(-0.6 + k) + 33 = 0 (-0.6 * 9 + k * 9) + 33 = 0 (-5.4 + 9k) + 33 = 0 Reorder the terms: -5.4 + 33 + 9k = 0 Combine like terms: -5.4 + 33 = 27.6 27.6 + 9k = 0 Solving 27.6 + 9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27.6' to each side of the equation. 27.6 + -27.6 + 9k = 0 + -27.6 Combine like terms: 27.6 + -27.6 = 0.0 0.0 + 9k = 0 + -27.6 9k = 0 + -27.6 Combine like terms: 0 + -27.6 = -27.6 9k = -27.6 Divide each side by '9'. k = -3.066666667 Simplifying k = -3.066666667
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