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Simplifying 0.33(12 + -9k) = 4 + -3k (12 * 0.33 + -9k * 0.33) = 4 + -3k (3.96 + -2.97k) = 4 + -3k Solving 3.96 + -2.97k = 4 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 3.96 + -2.97k + 3k = 4 + -3k + 3k Combine like terms: -2.97k + 3k = 0.03k 3.96 + 0.03k = 4 + -3k + 3k Combine like terms: -3k + 3k = 0 3.96 + 0.03k = 4 + 0 3.96 + 0.03k = 4 Add '-3.96' to each side of the equation. 3.96 + -3.96 + 0.03k = 4 + -3.96 Combine like terms: 3.96 + -3.96 = 0.00 0.00 + 0.03k = 4 + -3.96 0.03k = 4 + -3.96 Combine like terms: 4 + -3.96 = 0.04 0.03k = 0.04 Divide each side by '0.03'. k = 1.333333333 Simplifying k = 1.333333333
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