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Simplifying 30 + 8k = 3(8 + 3k) 30 + 8k = (8 * 3 + 3k * 3) 30 + 8k = (24 + 9k) Solving 30 + 8k = 24 + 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 + 8k + -9k = 24 + 9k + -9k Combine like terms: 8k + -9k = -1k 30 + -1k = 24 + 9k + -9k Combine like terms: 9k + -9k = 0 30 + -1k = 24 + 0 30 + -1k = 24 Add '-30' to each side of the equation. 30 + -30 + -1k = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -1k = 24 + -30 -1k = 24 + -30 Combine like terms: 24 + -30 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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