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Simplifying 12(2 + -33k) = 15(-24 + 24) + 12k (2 * 12 + -33k * 12) = 15(-24 + 24) + 12k (24 + -396k) = 15(-24 + 24) + 12k Combine like terms: -24 + 24 = 0 24 + -396k = 15(0) + 12k Multiply 15 * 0 24 + -396k = 0 + 12k Anything times zero is zero. 24 + -396k = 0 + 12k Remove the zero: 24 + -396k = 12k Solving 24 + -396k = 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 24 + -396k + -12k = 12k + -12k Combine like terms: -396k + -12k = -408k 24 + -408k = 12k + -12k Combine like terms: 12k + -12k = 0 24 + -408k = 0 Add '-24' to each side of the equation. 24 + -24 + -408k = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -408k = 0 + -24 -408k = 0 + -24 Combine like terms: 0 + -24 = -24 -408k = -24 Divide each side by '-408'. k = 0.05882352941 Simplifying k = 0.05882352941
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