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Simplifying 91 = 7(-7 + k) 91 = (-7 * 7 + k * 7) 91 = (-49 + 7k) Solving 91 = -49 + 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 = -49 + 7k + -7k Combine like terms: 7k + -7k = 0 91 + -7k = -49 + 0 91 + -7k = -49 Add '-91' to each side of the equation. 91 + -91 + -7k = -49 + -91 Combine like terms: 91 + -91 = 0 0 + -7k = -49 + -91 -7k = -49 + -91 Combine like terms: -49 + -91 = -140 -7k = -140 Divide each side by '-7'. k = 20 Simplifying k = 20
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