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Simplifying 12(2k + 11) = 12(2 + 12) Reorder the terms: 12(11 + 2k) = 12(2 + 12) (11 * 12 + 2k * 12) = 12(2 + 12) (132 + 24k) = 12(2 + 12) Combine like terms: 2 + 12 = 14 132 + 24k = 12(14) Multiply 12 * 14 132 + 24k = 168 Solving 132 + 24k = 168 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-132' to each side of the equation. 132 + -132 + 24k = 168 + -132 Combine like terms: 132 + -132 = 0 0 + 24k = 168 + -132 24k = 168 + -132 Combine like terms: 168 + -132 = 36 24k = 36 Divide each side by '24'. k = 1.5 Simplifying k = 1.5
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