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Simplifying -5(3k + 5) = -145 Reorder the terms: -5(5 + 3k) = -145 (5 * -5 + 3k * -5) = -145 (-25 + -15k) = -145 Solving -25 + -15k = -145 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -15k = -145 + 25 Combine like terms: -25 + 25 = 0 0 + -15k = -145 + 25 -15k = -145 + 25 Combine like terms: -145 + 25 = -120 -15k = -120 Divide each side by '-15'. k = 8 Simplifying k = 8
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