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Simplifying -5(k + 5) = 45 Reorder the terms: -5(5 + k) = 45 (5 * -5 + k * -5) = 45 (-25 + -5k) = 45 Solving -25 + -5k = 45 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 + -5k = 45 + 25 Combine like terms: -25 + 25 = 0 0 + -5k = 45 + 25 -5k = 45 + 25 Combine like terms: 45 + 25 = 70 -5k = 70 Divide each side by '-5'. k = -14 Simplifying k = -14
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