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Simplifying 85 = 5(-7 + -6k) 85 = (-7 * 5 + -6k * 5) 85 = (-35 + -30k) Solving 85 = -35 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 85 + 30k = -35 + -30k + 30k Combine like terms: -30k + 30k = 0 85 + 30k = -35 + 0 85 + 30k = -35 Add '-85' to each side of the equation. 85 + -85 + 30k = -35 + -85 Combine like terms: 85 + -85 = 0 0 + 30k = -35 + -85 30k = -35 + -85 Combine like terms: -35 + -85 = -120 30k = -120 Divide each side by '30'. k = -4 Simplifying k = -4
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