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Simplifying 7(k + -84) = 84 Reorder the terms: 7(-84 + k) = 84 (-84 * 7 + k * 7) = 84 (-588 + 7k) = 84 Solving -588 + 7k = 84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '588' to each side of the equation. -588 + 588 + 7k = 84 + 588 Combine like terms: -588 + 588 = 0 0 + 7k = 84 + 588 7k = 84 + 588 Combine like terms: 84 + 588 = 672 7k = 672 Divide each side by '7'. k = 96 Simplifying k = 96
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