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Simplifying -5(7k + -6) = -145 Reorder the terms: -5(-6 + 7k) = -145 (-6 * -5 + 7k * -5) = -145 (30 + -35k) = -145 Solving 30 + -35k = -145 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -35k = -145 + -30 Combine like terms: 30 + -30 = 0 0 + -35k = -145 + -30 -35k = -145 + -30 Combine like terms: -145 + -30 = -175 -35k = -175 Divide each side by '-35'. k = 5 Simplifying k = 5
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