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Simplifying 22 + k = -1(-7k + -1) Reorder the terms: 22 + k = -1(-1 + -7k) 22 + k = (-1 * -1 + -7k * -1) 22 + k = (1 + 7k) Solving 22 + k = 1 + 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. 22 + k + -7k = 1 + 7k + -7k Combine like terms: k + -7k = -6k 22 + -6k = 1 + 7k + -7k Combine like terms: 7k + -7k = 0 22 + -6k = 1 + 0 22 + -6k = 1 Add '-22' to each side of the equation. 22 + -22 + -6k = 1 + -22 Combine like terms: 22 + -22 = 0 0 + -6k = 1 + -22 -6k = 1 + -22 Combine like terms: 1 + -22 = -21 -6k = -21 Divide each side by '-6'. k = 3.5 Simplifying k = 3.5
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