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Simplifying 0 = 9(k + -0.25) + 33 Reorder the terms: 0 = 9(-0.25 + k) + 33 0 = (-0.25 * 9 + k * 9) + 33 0 = (-2.25 + 9k) + 33 Reorder the terms: 0 = -2.25 + 33 + 9k Combine like terms: -2.25 + 33 = 30.75 0 = 30.75 + 9k Solving 0 = 30.75 + 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 = 30.75 + 9k + -9k Remove the zero: -9k = 30.75 + 9k + -9k Combine like terms: 9k + -9k = 0 -9k = 30.75 + 0 -9k = 30.75 Divide each side by '-9'. k = -3.416666667 Simplifying k = -3.416666667
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