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Simplifying 20 + -5k = -1(7k + -8) Reorder the terms: 20 + -5k = -1(-8 + 7k) 20 + -5k = (-8 * -1 + 7k * -1) 20 + -5k = (8 + -7k) Solving 20 + -5k = 8 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 20 + -5k + 7k = 8 + -7k + 7k Combine like terms: -5k + 7k = 2k 20 + 2k = 8 + -7k + 7k Combine like terms: -7k + 7k = 0 20 + 2k = 8 + 0 20 + 2k = 8 Add '-20' to each side of the equation. 20 + -20 + 2k = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 2k = 8 + -20 2k = 8 + -20 Combine like terms: 8 + -20 = -12 2k = -12 Divide each side by '2'. k = -6 Simplifying k = -6
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