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Simplifying -5(-6 + 3k) = 75 (-6 * -5 + 3k * -5) = 75 (30 + -15k) = 75 Solving 30 + -15k = 75 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 + -15k = 75 + -30 Combine like terms: 30 + -30 = 0 0 + -15k = 75 + -30 -15k = 75 + -30 Combine like terms: 75 + -30 = 45 -15k = 45 Divide each side by '-15'. k = -3 Simplifying k = -3
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