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Simplifying -5(-5k + -20) = 13k + 17 + -1 Reorder the terms: -5(-20 + -5k) = 13k + 17 + -1 (-20 * -5 + -5k * -5) = 13k + 17 + -1 (100 + 25k) = 13k + 17 + -1 Reorder the terms: 100 + 25k = 17 + -1 + 13k Combine like terms: 17 + -1 = 16 100 + 25k = 16 + 13k Solving 100 + 25k = 16 + 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 100 + 25k + -13k = 16 + 13k + -13k Combine like terms: 25k + -13k = 12k 100 + 12k = 16 + 13k + -13k Combine like terms: 13k + -13k = 0 100 + 12k = 16 + 0 100 + 12k = 16 Add '-100' to each side of the equation. 100 + -100 + 12k = 16 + -100 Combine like terms: 100 + -100 = 0 0 + 12k = 16 + -100 12k = 16 + -100 Combine like terms: 16 + -100 = -84 12k = -84 Divide each side by '12'. k = -7 Simplifying k = -7
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