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Simplifying -7(k + -6) + -1(2k + -7) = -10k Reorder the terms: -7(-6 + k) + -1(2k + -7) = -10k (-6 * -7 + k * -7) + -1(2k + -7) = -10k (42 + -7k) + -1(2k + -7) = -10k Reorder the terms: 42 + -7k + -1(-7 + 2k) = -10k 42 + -7k + (-7 * -1 + 2k * -1) = -10k 42 + -7k + (7 + -2k) = -10k Reorder the terms: 42 + 7 + -7k + -2k = -10k Combine like terms: 42 + 7 = 49 49 + -7k + -2k = -10k Combine like terms: -7k + -2k = -9k 49 + -9k = -10k Solving 49 + -9k = -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 49 + -9k + 10k = -10k + 10k Combine like terms: -9k + 10k = 1k 49 + 1k = -10k + 10k Combine like terms: -10k + 10k = 0 49 + 1k = 0 Add '-49' to each side of the equation. 49 + -49 + 1k = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 1k = 0 + -49 1k = 0 + -49 Combine like terms: 0 + -49 = -49 1k = -49 Divide each side by '1'. k = -49 Simplifying k = -49
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