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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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