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Simplifying -4(5 + -5k) = -5k + 5 (5 * -4 + -5k * -4) = -5k + 5 (-20 + 20k) = -5k + 5 Reorder the terms: -20 + 20k = 5 + -5k Solving -20 + 20k = 5 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -20 + 20k + 5k = 5 + -5k + 5k Combine like terms: 20k + 5k = 25k -20 + 25k = 5 + -5k + 5k Combine like terms: -5k + 5k = 0 -20 + 25k = 5 + 0 -20 + 25k = 5 Add '20' to each side of the equation. -20 + 20 + 25k = 5 + 20 Combine like terms: -20 + 20 = 0 0 + 25k = 5 + 20 25k = 5 + 20 Combine like terms: 5 + 20 = 25 25k = 25 Divide each side by '25'. k = 1 Simplifying k = 1
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