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Simplifying 2(k + 5) = -25 + -5k Reorder the terms: 2(5 + k) = -25 + -5k (5 * 2 + k * 2) = -25 + -5k (10 + 2k) = -25 + -5k Solving 10 + 2k = -25 + -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. 10 + 2k + 5k = -25 + -5k + 5k Combine like terms: 2k + 5k = 7k 10 + 7k = -25 + -5k + 5k Combine like terms: -5k + 5k = 0 10 + 7k = -25 + 0 10 + 7k = -25 Add '-10' to each side of the equation. 10 + -10 + 7k = -25 + -10 Combine like terms: 10 + -10 = 0 0 + 7k = -25 + -10 7k = -25 + -10 Combine like terms: -25 + -10 = -35 7k = -35 Divide each side by '7'. k = -5 Simplifying k = -5
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