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Simplifying 84 = -7(k + -4) Reorder the terms: 84 = -7(-4 + k) 84 = (-4 * -7 + k * -7) 84 = (28 + -7k) Solving 84 = 28 + -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. 84 + 7k = 28 + -7k + 7k Combine like terms: -7k + 7k = 0 84 + 7k = 28 + 0 84 + 7k = 28 Add '-84' to each side of the equation. 84 + -84 + 7k = 28 + -84 Combine like terms: 84 + -84 = 0 0 + 7k = 28 + -84 7k = 28 + -84 Combine like terms: 28 + -84 = -56 7k = -56 Divide each side by '7'. k = -8 Simplifying k = -8
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