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Simplifying 2(9k + 6) = 20k Reorder the terms: 2(6 + 9k) = 20k (6 * 2 + 9k * 2) = 20k (12 + 18k) = 20k Solving 12 + 18k = 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 12 + 18k + -20k = 20k + -20k Combine like terms: 18k + -20k = -2k 12 + -2k = 20k + -20k Combine like terms: 20k + -20k = 0 12 + -2k = 0 Add '-12' to each side of the equation. 12 + -12 + -2k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2k = 0 + -12 -2k = 0 + -12 Combine like terms: 0 + -12 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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