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Simplifying -5(6k + 3) = -75 Reorder the terms: -5(3 + 6k) = -75 (3 * -5 + 6k * -5) = -75 (-15 + -30k) = -75 Solving -15 + -30k = -75 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -30k = -75 + 15 Combine like terms: -15 + 15 = 0 0 + -30k = -75 + 15 -30k = -75 + 15 Combine like terms: -75 + 15 = -60 -30k = -60 Divide each side by '-30'. k = 2 Simplifying k = 2
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