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Simplifying 234 = 9(k + 6) Reorder the terms: 234 = 9(6 + k) 234 = (6 * 9 + k * 9) 234 = (54 + 9k) Solving 234 = 54 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 234 + -9k = 54 + 9k + -9k Combine like terms: 9k + -9k = 0 234 + -9k = 54 + 0 234 + -9k = 54 Add '-234' to each side of the equation. 234 + -234 + -9k = 54 + -234 Combine like terms: 234 + -234 = 0 0 + -9k = 54 + -234 -9k = 54 + -234 Combine like terms: 54 + -234 = -180 -9k = -180 Divide each side by '-9'. k = 20 Simplifying k = 20
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