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Simplifying 100 = -5(5k + -5) Reorder the terms: 100 = -5(-5 + 5k) 100 = (-5 * -5 + 5k * -5) 100 = (25 + -25k) Solving 100 = 25 + -25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25k' to each side of the equation. 100 + 25k = 25 + -25k + 25k Combine like terms: -25k + 25k = 0 100 + 25k = 25 + 0 100 + 25k = 25 Add '-100' to each side of the equation. 100 + -100 + 25k = 25 + -100 Combine like terms: 100 + -100 = 0 0 + 25k = 25 + -100 25k = 25 + -100 Combine like terms: 25 + -100 = -75 25k = -75 Divide each side by '25'. k = -3 Simplifying k = -3
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