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Simplifying -6(k + 7) + -1(-7k + -3) = -7 Reorder the terms: -6(7 + k) + -1(-7k + -3) = -7 (7 * -6 + k * -6) + -1(-7k + -3) = -7 (-42 + -6k) + -1(-7k + -3) = -7 Reorder the terms: -42 + -6k + -1(-3 + -7k) = -7 -42 + -6k + (-3 * -1 + -7k * -1) = -7 -42 + -6k + (3 + 7k) = -7 Reorder the terms: -42 + 3 + -6k + 7k = -7 Combine like terms: -42 + 3 = -39 -39 + -6k + 7k = -7 Combine like terms: -6k + 7k = 1k -39 + 1k = -7 Solving -39 + 1k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 1k = -7 + 39 Combine like terms: -39 + 39 = 0 0 + 1k = -7 + 39 1k = -7 + 39 Combine like terms: -7 + 39 = 32 1k = 32 Divide each side by '1'. k = 32 Simplifying k = 32
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