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Simplifying 14 = -7(k + -8) Reorder the terms: 14 = -7(-8 + k) 14 = (-8 * -7 + k * -7) 14 = (56 + -7k) Solving 14 = 56 + -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. 14 + 7k = 56 + -7k + 7k Combine like terms: -7k + 7k = 0 14 + 7k = 56 + 0 14 + 7k = 56 Add '-14' to each side of the equation. 14 + -14 + 7k = 56 + -14 Combine like terms: 14 + -14 = 0 0 + 7k = 56 + -14 7k = 56 + -14 Combine like terms: 56 + -14 = 42 7k = 42 Divide each side by '7'. k = 6 Simplifying k = 6
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