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Simplifying 0 = -9(k + -0.6) + 33 Reorder the terms: 0 = -9(-0.6 + k) + 33 0 = (-0.6 * -9 + k * -9) + 33 0 = (5.4 + -9k) + 33 Reorder the terms: 0 = 5.4 + 33 + -9k Combine like terms: 5.4 + 33 = 38.4 0 = 38.4 + -9k Solving 0 = 38.4 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 0 + 9k = 38.4 + -9k + 9k Remove the zero: 9k = 38.4 + -9k + 9k Combine like terms: -9k + 9k = 0 9k = 38.4 + 0 9k = 38.4 Divide each side by '9'. k = 4.266666667 Simplifying k = 4.266666667
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