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Simplifying 161 = -7(k + -6) Reorder the terms: 161 = -7(-6 + k) 161 = (-6 * -7 + k * -7) 161 = (42 + -7k) Solving 161 = 42 + -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. 161 + 7k = 42 + -7k + 7k Combine like terms: -7k + 7k = 0 161 + 7k = 42 + 0 161 + 7k = 42 Add '-161' to each side of the equation. 161 + -161 + 7k = 42 + -161 Combine like terms: 161 + -161 = 0 0 + 7k = 42 + -161 7k = 42 + -161 Combine like terms: 42 + -161 = -119 7k = -119 Divide each side by '7'. k = -17 Simplifying k = -17
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