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Simplifying -91 = 7(k + -8) Reorder the terms: -91 = 7(-8 + k) -91 = (-8 * 7 + k * 7) -91 = (-56 + 7k) Solving -91 = -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. -91 + -7k = -56 + 7k + -7k Combine like terms: 7k + -7k = 0 -91 + -7k = -56 + 0 -91 + -7k = -56 Add '91' to each side of the equation. -91 + 91 + -7k = -56 + 91 Combine like terms: -91 + 91 = 0 0 + -7k = -56 + 91 -7k = -56 + 91 Combine like terms: -56 + 91 = 35 -7k = 35 Divide each side by '-7'. k = -5 Simplifying k = -5
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