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Simplifying -5(5 + 5k) = 75 (5 * -5 + 5k * -5) = 75 (-25 + -25k) = 75 Solving -25 + -25k = 75 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 + -25k = 75 + 25 Combine like terms: -25 + 25 = 0 0 + -25k = 75 + 25 -25k = 75 + 25 Combine like terms: 75 + 25 = 100 -25k = 100 Divide each side by '-25'. k = -4 Simplifying k = -4
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