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Simplifying -84 = 7(-1k + -6) Reorder the terms: -84 = 7(-6 + -1k) -84 = (-6 * 7 + -1k * 7) -84 = (-42 + -7k) Solving -84 = -42 + -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 = -42 + -7k + 7k Combine like terms: -7k + 7k = 0 -84 + 7k = -42 + 0 -84 + 7k = -42 Add '84' to each side of the equation. -84 + 84 + 7k = -42 + 84 Combine like terms: -84 + 84 = 0 0 + 7k = -42 + 84 7k = -42 + 84 Combine like terms: -42 + 84 = 42 7k = 42 Divide each side by '7'. k = 6 Simplifying k = 6
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