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Simplifying 12 = 7k + -15 + 2k Reorder the terms: 12 = -15 + 7k + 2k Combine like terms: 7k + 2k = 9k 12 = -15 + 9k Solving 12 = -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. 12 + -9k = -15 + 9k + -9k Combine like terms: 9k + -9k = 0 12 + -9k = -15 + 0 12 + -9k = -15 Add '-12' to each side of the equation. 12 + -12 + -9k = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -9k = -15 + -12 -9k = -15 + -12 Combine like terms: -15 + -12 = -27 -9k = -27 Divide each side by '-9'. k = 3 Simplifying k = 3
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