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Simplifying 12(22k + 11) = 12(2k + 12) Reorder the terms: 12(11 + 22k) = 12(2k + 12) (11 * 12 + 22k * 12) = 12(2k + 12) (132 + 264k) = 12(2k + 12) Reorder the terms: 132 + 264k = 12(12 + 2k) 132 + 264k = (12 * 12 + 2k * 12) 132 + 264k = (144 + 24k) Solving 132 + 264k = 144 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 132 + 264k + -24k = 144 + 24k + -24k Combine like terms: 264k + -24k = 240k 132 + 240k = 144 + 24k + -24k Combine like terms: 24k + -24k = 0 132 + 240k = 144 + 0 132 + 240k = 144 Add '-132' to each side of the equation. 132 + -132 + 240k = 144 + -132 Combine like terms: 132 + -132 = 0 0 + 240k = 144 + -132 240k = 144 + -132 Combine like terms: 144 + -132 = 12 240k = 12 Divide each side by '240'. k = 0.05 Simplifying k = 0.05
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