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Simplifying 12(2k + 11) = 12(2K + 12k) Reorder the terms: 12(11 + 2k) = 12(2K + 12k) (11 * 12 + 2k * 12) = 12(2K + 12k) (132 + 24k) = 12(2K + 12k) 132 + 24k = (2K * 12 + 12k * 12) 132 + 24k = (24K + 144k) Solving 132 + 24k = 24K + 144k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-144k' to each side of the equation. 132 + 24k + -144k = 24K + 144k + -144k Combine like terms: 24k + -144k = -120k 132 + -120k = 24K + 144k + -144k Combine like terms: 144k + -144k = 0 132 + -120k = 24K + 0 132 + -120k = 24K Add '-132' to each side of the equation. 132 + -132 + -120k = -132 + 24K Combine like terms: 132 + -132 = 0 0 + -120k = -132 + 24K -120k = -132 + 24K Divide each side by '-120'. k = 1.1 + -0.2K Simplifying k = 1.1 + -0.2K
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