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Simplifying 0.333(-12k + 36) = 5 + 11k Reorder the terms: 0.333(36 + -12k) = 5 + 11k (36 * 0.333 + -12k * 0.333) = 5 + 11k (11.988 + -3.996k) = 5 + 11k Solving 11.988 + -3.996k = 5 + 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. 11.988 + -3.996k + -11k = 5 + 11k + -11k Combine like terms: -3.996k + -11k = -14.996k 11.988 + -14.996k = 5 + 11k + -11k Combine like terms: 11k + -11k = 0 11.988 + -14.996k = 5 + 0 11.988 + -14.996k = 5 Add '-11.988' to each side of the equation. 11.988 + -11.988 + -14.996k = 5 + -11.988 Combine like terms: 11.988 + -11.988 = 0.000 0.000 + -14.996k = 5 + -11.988 -14.996k = 5 + -11.988 Combine like terms: 5 + -11.988 = -6.988 -14.996k = -6.988 Divide each side by '-14.996'. k = 0.4659909309 Simplifying k = 0.4659909309
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