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Simplifying -5(-7 + -3k) = -85 (-7 * -5 + -3k * -5) = -85 (35 + 15k) = -85 Solving 35 + 15k = -85 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 15k = -85 + -35 Combine like terms: 35 + -35 = 0 0 + 15k = -85 + -35 15k = -85 + -35 Combine like terms: -85 + -35 = -120 15k = -120 Divide each side by '15'. k = -8 Simplifying k = -8
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