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Simplifying 0.333 + -9k + 30 = 3 + 11k Reorder the terms: 0.333 + 30 + -9k = 3 + 11k Combine like terms: 0.333 + 30 = 30.333 30.333 + -9k = 3 + 11k Solving 30.333 + -9k = 3 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 30.333 + -9k + -11k = 3 + 11k + -11k Combine like terms: -9k + -11k = -20k 30.333 + -20k = 3 + 11k + -11k Combine like terms: 11k + -11k = 0 30.333 + -20k = 3 + 0 30.333 + -20k = 3 Add '-30.333' to each side of the equation. 30.333 + -30.333 + -20k = 3 + -30.333 Combine like terms: 30.333 + -30.333 = 0.000 0.000 + -20k = 3 + -30.333 -20k = 3 + -30.333 Combine like terms: 3 + -30.333 = -27.333 -20k = -27.333 Divide each side by '-20'. k = 1.36665 Simplifying k = 1.36665
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