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Simplifying 12 + -9k = 3k + 12 Reorder the terms: 12 + -9k = 12 + 3k Add '-12' to each side of the equation. 12 + -12 + -9k = 12 + -12 + 3k Combine like terms: 12 + -12 = 0 0 + -9k = 12 + -12 + 3k -9k = 12 + -12 + 3k Combine like terms: 12 + -12 = 0 -9k = 0 + 3k -9k = 3k Solving -9k = 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. -9k + -3k = 3k + -3k Combine like terms: -9k + -3k = -12k -12k = 3k + -3k Combine like terms: 3k + -3k = 0 -12k = 0 Divide each side by '-12'. k = 0 Simplifying k = 0
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