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Simplifying 7(5 + -1k) = 84 (5 * 7 + -1k * 7) = 84 (35 + -7k) = 84 Solving 35 + -7k = 84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -7k = 84 + -35 Combine like terms: 35 + -35 = 0 0 + -7k = 84 + -35 -7k = 84 + -35 Combine like terms: 84 + -35 = 49 -7k = 49 Divide each side by '-7'. k = -7 Simplifying k = -7
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