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Simplifying (9k + 4) * 2 = 24k Reorder the terms: (4 + 9k) * 2 = 24k Reorder the terms for easier multiplication: 2(4 + 9k) = 24k (4 * 2 + 9k * 2) = 24k (8 + 18k) = 24k Solving 8 + 18k = 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. 8 + 18k + -24k = 24k + -24k Combine like terms: 18k + -24k = -6k 8 + -6k = 24k + -24k Combine like terms: 24k + -24k = 0 8 + -6k = 0 Add '-8' to each side of the equation. 8 + -8 + -6k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6k = 0 + -8 -6k = 0 + -8 Combine like terms: 0 + -8 = -8 -6k = -8 Divide each side by '-6'. k = 1.333333333 Simplifying k = 1.333333333
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