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Simplifying 30 + 6k = 3(3k + 3) Reorder the terms: 30 + 6k = 3(3 + 3k) 30 + 6k = (3 * 3 + 3k * 3) 30 + 6k = (9 + 9k) Solving 30 + 6k = 9 + 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. 30 + 6k + -9k = 9 + 9k + -9k Combine like terms: 6k + -9k = -3k 30 + -3k = 9 + 9k + -9k Combine like terms: 9k + -9k = 0 30 + -3k = 9 + 0 30 + -3k = 9 Add '-30' to each side of the equation. 30 + -30 + -3k = 9 + -30 Combine like terms: 30 + -30 = 0 0 + -3k = 9 + -30 -3k = 9 + -30 Combine like terms: 9 + -30 = -21 -3k = -21 Divide each side by '-3'. k = 7 Simplifying k = 7
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