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Simplifying 9k + 15 = 3k + 45 Reorder the terms: 15 + 9k = 3k + 45 Reorder the terms: 15 + 9k = 45 + 3k Solving 15 + 9k = 45 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 15 + 9k + -3k = 45 + 3k + -3k Combine like terms: 9k + -3k = 6k 15 + 6k = 45 + 3k + -3k Combine like terms: 3k + -3k = 0 15 + 6k = 45 + 0 15 + 6k = 45 Add '-15' to each side of the equation. 15 + -15 + 6k = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 6k = 45 + -15 6k = 45 + -15 Combine like terms: 45 + -15 = 30 6k = 30 Divide each side by '6'. k = 5 Simplifying k = 5
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