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Simplifying k + -20 = -1(8 + -7k) Reorder the terms: -20 + k = -1(8 + -7k) -20 + k = (8 * -1 + -7k * -1) -20 + k = (-8 + 7k) Solving -20 + k = -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 + k + -7k = -8 + 7k + -7k Combine like terms: k + -7k = -6k -20 + -6k = -8 + 7k + -7k Combine like terms: 7k + -7k = 0 -20 + -6k = -8 + 0 -20 + -6k = -8 Add '20' to each side of the equation. -20 + 20 + -6k = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -6k = -8 + 20 -6k = -8 + 20 Combine like terms: -8 + 20 = 12 -6k = 12 Divide each side by '-6'. k = -2 Simplifying k = -2
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