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Simplifying 6(k + 12) = 9k + -15 Reorder the terms: 6(12 + k) = 9k + -15 (12 * 6 + k * 6) = 9k + -15 (72 + 6k) = 9k + -15 Reorder the terms: 72 + 6k = -15 + 9k Solving 72 + 6k = -15 + 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. 72 + 6k + -9k = -15 + 9k + -9k Combine like terms: 6k + -9k = -3k 72 + -3k = -15 + 9k + -9k Combine like terms: 9k + -9k = 0 72 + -3k = -15 + 0 72 + -3k = -15 Add '-72' to each side of the equation. 72 + -72 + -3k = -15 + -72 Combine like terms: 72 + -72 = 0 0 + -3k = -15 + -72 -3k = -15 + -72 Combine like terms: -15 + -72 = -87 -3k = -87 Divide each side by '-3'. k = 29 Simplifying k = 29
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