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