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Simplifying 12 + 7k = -3(-3k + -6) Reorder the terms: 12 + 7k = -3(-6 + -3k) 12 + 7k = (-6 * -3 + -3k * -3) 12 + 7k = (18 + 9k) Solving 12 + 7k = 18 + 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 + 7k + -9k = 18 + 9k + -9k Combine like terms: 7k + -9k = -2k 12 + -2k = 18 + 9k + -9k Combine like terms: 9k + -9k = 0 12 + -2k = 18 + 0 12 + -2k = 18 Add '-12' to each side of the equation. 12 + -12 + -2k = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -2k = 18 + -12 -2k = 18 + -12 Combine like terms: 18 + -12 = 6 -2k = 6 Divide each side by '-2'. k = -3 Simplifying k = -3
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