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Simplifying -3(k + -6) + -6 = 7(k + 6) Reorder the terms: -3(-6 + k) + -6 = 7(k + 6) (-6 * -3 + k * -3) + -6 = 7(k + 6) (18 + -3k) + -6 = 7(k + 6) Reorder the terms: 18 + -6 + -3k = 7(k + 6) Combine like terms: 18 + -6 = 12 12 + -3k = 7(k + 6) Reorder the terms: 12 + -3k = 7(6 + k) 12 + -3k = (6 * 7 + k * 7) 12 + -3k = (42 + 7k) Solving 12 + -3k = 42 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 12 + -3k + -7k = 42 + 7k + -7k Combine like terms: -3k + -7k = -10k 12 + -10k = 42 + 7k + -7k Combine like terms: 7k + -7k = 0 12 + -10k = 42 + 0 12 + -10k = 42 Add '-12' to each side of the equation. 12 + -12 + -10k = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -10k = 42 + -12 -10k = 42 + -12 Combine like terms: 42 + -12 = 30 -10k = 30 Divide each side by '-10'. k = -3 Simplifying k = -3
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