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Simplifying -7(6 + -1k) = -91 (6 * -7 + -1k * -7) = -91 (-42 + 7k) = -91 Solving -42 + 7k = -91 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 7k = -91 + 42 Combine like terms: -42 + 42 = 0 0 + 7k = -91 + 42 7k = -91 + 42 Combine like terms: -91 + 42 = -49 7k = -49 Divide each side by '7'. k = -7 Simplifying k = -7
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