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Simplifying 84 = -7(-8 + -1k) 84 = (-8 * -7 + -1k * -7) 84 = (56 + 7k) Solving 84 = 56 + 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 = 56 + 7k + -7k Combine like terms: 7k + -7k = 0 84 + -7k = 56 + 0 84 + -7k = 56 Add '-84' to each side of the equation. 84 + -84 + -7k = 56 + -84 Combine like terms: 84 + -84 = 0 0 + -7k = 56 + -84 -7k = 56 + -84 Combine like terms: 56 + -84 = -28 -7k = -28 Divide each side by '-7'. k = 4 Simplifying k = 4
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