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Simplifying -2(5 + 5k) = 4(5 + -5k) (5 * -2 + 5k * -2) = 4(5 + -5k) (-10 + -10k) = 4(5 + -5k) -10 + -10k = (5 * 4 + -5k * 4) -10 + -10k = (20 + -20k) Solving -10 + -10k = 20 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. -10 + -10k + 20k = 20 + -20k + 20k Combine like terms: -10k + 20k = 10k -10 + 10k = 20 + -20k + 20k Combine like terms: -20k + 20k = 0 -10 + 10k = 20 + 0 -10 + 10k = 20 Add '10' to each side of the equation. -10 + 10 + 10k = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 10k = 20 + 10 10k = 20 + 10 Combine like terms: 20 + 10 = 30 10k = 30 Divide each side by '10'. k = 3 Simplifying k = 3
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