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Simplifying -6(k + 5) + -1(-7k + -7) = -3 Reorder the terms: -6(5 + k) + -1(-7k + -7) = -3 (5 * -6 + k * -6) + -1(-7k + -7) = -3 (-30 + -6k) + -1(-7k + -7) = -3 Reorder the terms: -30 + -6k + -1(-7 + -7k) = -3 -30 + -6k + (-7 * -1 + -7k * -1) = -3 -30 + -6k + (7 + 7k) = -3 Reorder the terms: -30 + 7 + -6k + 7k = -3 Combine like terms: -30 + 7 = -23 -23 + -6k + 7k = -3 Combine like terms: -6k + 7k = 1k -23 + 1k = -3 Solving -23 + 1k = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1k = -3 + 23 Combine like terms: -23 + 23 = 0 0 + 1k = -3 + 23 1k = -3 + 23 Combine like terms: -3 + 23 = 20 1k = 20 Divide each side by '1'. k = 20 Simplifying k = 20
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