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Simplifying 42 = 7(k + -84) Reorder the terms: 42 = 7(-84 + k) 42 = (-84 * 7 + k * 7) 42 = (-588 + 7k) Solving 42 = -588 + 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. 42 + -7k = -588 + 7k + -7k Combine like terms: 7k + -7k = 0 42 + -7k = -588 + 0 42 + -7k = -588 Add '-42' to each side of the equation. 42 + -42 + -7k = -588 + -42 Combine like terms: 42 + -42 = 0 0 + -7k = -588 + -42 -7k = -588 + -42 Combine like terms: -588 + -42 = -630 -7k = -630 Divide each side by '-7'. k = 90 Simplifying k = 90
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