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Simplifying 12(2k + 11) = 12(-1k + 12) Reorder the terms: 12(11 + 2k) = 12(-1k + 12) (11 * 12 + 2k * 12) = 12(-1k + 12) (132 + 24k) = 12(-1k + 12) Reorder the terms: 132 + 24k = 12(12 + -1k) 132 + 24k = (12 * 12 + -1k * 12) 132 + 24k = (144 + -12k) Solving 132 + 24k = 144 + -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. 132 + 24k + 12k = 144 + -12k + 12k Combine like terms: 24k + 12k = 36k 132 + 36k = 144 + -12k + 12k Combine like terms: -12k + 12k = 0 132 + 36k = 144 + 0 132 + 36k = 144 Add '-132' to each side of the equation. 132 + -132 + 36k = 144 + -132 Combine like terms: 132 + -132 = 0 0 + 36k = 144 + -132 36k = 144 + -132 Combine like terms: 144 + -132 = 12 36k = 12 Divide each side by '36'. k = 0.3333333333 Simplifying k = 0.3333333333
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