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Simplifying 22 = -1k + -1(-7k + -1) Reorder the terms: 22 = -1k + -1(-1 + -7k) 22 = -1k + (-1 * -1 + -7k * -1) 22 = -1k + (1 + 7k) Reorder the terms: 22 = 1 + -1k + 7k Combine like terms: -1k + 7k = 6k 22 = 1 + 6k Solving 22 = 1 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 22 + -6k = 1 + 6k + -6k Combine like terms: 6k + -6k = 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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