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Simplifying 8k + -5(5 + -1k) = -5(5 + -7k) 8k + (5 * -5 + -1k * -5) = -5(5 + -7k) 8k + (-25 + 5k) = -5(5 + -7k) Reorder the terms: -25 + 8k + 5k = -5(5 + -7k) Combine like terms: 8k + 5k = 13k -25 + 13k = -5(5 + -7k) -25 + 13k = (5 * -5 + -7k * -5) -25 + 13k = (-25 + 35k) Add '25' to each side of the equation. -25 + 25 + 13k = -25 + 25 + 35k Combine like terms: -25 + 25 = 0 0 + 13k = -25 + 25 + 35k 13k = -25 + 25 + 35k Combine like terms: -25 + 25 = 0 13k = 0 + 35k 13k = 35k Solving 13k = 35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35k' to each side of the equation. 13k + -35k = 35k + -35k Combine like terms: 13k + -35k = -22k -22k = 35k + -35k Combine like terms: 35k + -35k = 0 -22k = 0 Divide each side by '-22'. k = 0 Simplifying k = 0
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