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Simplifying -1(-5k + -5) = 31 + -8k Reorder the terms: -1(-5 + -5k) = 31 + -8k (-5 * -1 + -5k * -1) = 31 + -8k (5 + 5k) = 31 + -8k Solving 5 + 5k = 31 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 5 + 5k + 8k = 31 + -8k + 8k Combine like terms: 5k + 8k = 13k 5 + 13k = 31 + -8k + 8k Combine like terms: -8k + 8k = 0 5 + 13k = 31 + 0 5 + 13k = 31 Add '-5' to each side of the equation. 5 + -5 + 13k = 31 + -5 Combine like terms: 5 + -5 = 0 0 + 13k = 31 + -5 13k = 31 + -5 Combine like terms: 31 + -5 = 26 13k = 26 Divide each side by '13'. k = 2 Simplifying k = 2
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