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Simplifying 30 + 9k = 3(4k + 7) Reorder the terms: 30 + 9k = 3(7 + 4k) 30 + 9k = (7 * 3 + 4k * 3) 30 + 9k = (21 + 12k) Solving 30 + 9k = 21 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 30 + 9k + -12k = 21 + 12k + -12k Combine like terms: 9k + -12k = -3k 30 + -3k = 21 + 12k + -12k Combine like terms: 12k + -12k = 0 30 + -3k = 21 + 0 30 + -3k = 21 Add '-30' to each side of the equation. 30 + -30 + -3k = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -3k = 21 + -30 -3k = 21 + -30 Combine like terms: 21 + -30 = -9 -3k = -9 Divide each side by '-3'. k = 3 Simplifying k = 3
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