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Simplifying 9 + -6k = 3k + -54 Reorder the terms: 9 + -6k = -54 + 3k Solving 9 + -6k = -54 + 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. 9 + -6k + -3k = -54 + 3k + -3k Combine like terms: -6k + -3k = -9k 9 + -9k = -54 + 3k + -3k Combine like terms: 3k + -3k = 0 9 + -9k = -54 + 0 9 + -9k = -54 Add '-9' to each side of the equation. 9 + -9 + -9k = -54 + -9 Combine like terms: 9 + -9 = 0 0 + -9k = -54 + -9 -9k = -54 + -9 Combine like terms: -54 + -9 = -63 -9k = -63 Divide each side by '-9'. k = 7 Simplifying k = 7
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