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Simplifying -5(-12 + 12k) + 8(10k + -2) = 7k + 2k (-12 * -5 + 12k * -5) + 8(10k + -2) = 7k + 2k (60 + -60k) + 8(10k + -2) = 7k + 2k Reorder the terms: 60 + -60k + 8(-2 + 10k) = 7k + 2k 60 + -60k + (-2 * 8 + 10k * 8) = 7k + 2k 60 + -60k + (-16 + 80k) = 7k + 2k Reorder the terms: 60 + -16 + -60k + 80k = 7k + 2k Combine like terms: 60 + -16 = 44 44 + -60k + 80k = 7k + 2k Combine like terms: -60k + 80k = 20k 44 + 20k = 7k + 2k Combine like terms: 7k + 2k = 9k 44 + 20k = 9k Solving 44 + 20k = 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. 44 + 20k + -9k = 9k + -9k Combine like terms: 20k + -9k = 11k 44 + 11k = 9k + -9k Combine like terms: 9k + -9k = 0 44 + 11k = 0 Add '-44' to each side of the equation. 44 + -44 + 11k = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 11k = 0 + -44 11k = 0 + -44 Combine like terms: 0 + -44 = -44 11k = -44 Divide each side by '11'. k = -4 Simplifying k = -4
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