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Simplifying 0 = 9(k + -2 + -3) + 33 Reorder the terms: 0 = 9(-2 + -3 + k) + 33 Combine like terms: -2 + -3 = -5 0 = 9(-5 + k) + 33 0 = (-5 * 9 + k * 9) + 33 0 = (-45 + 9k) + 33 Reorder the terms: 0 = -45 + 33 + 9k Combine like terms: -45 + 33 = -12 0 = -12 + 9k Solving 0 = -12 + 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 = -12 + 9k + -9k Remove the zero: -9k = -12 + 9k + -9k Combine like terms: 9k + -9k = 0 -9k = -12 + 0 -9k = -12 Divide each side by '-9'. k = 1.333333333 Simplifying k = 1.333333333
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