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Simplifying -22 = 9 + 7(k + -2) Reorder the terms: -22 = 9 + 7(-2 + k) -22 = 9 + (-2 * 7 + k * 7) -22 = 9 + (-14 + 7k) Combine like terms: 9 + -14 = -5 -22 = -5 + 7k Solving -22 = -5 + 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 + -7k = -5 + 7k + -7k Combine like terms: 7k + -7k = 0 -22 + -7k = -5 + 0 -22 + -7k = -5 Add '22' to each side of the equation. -22 + 22 + -7k = -5 + 22 Combine like terms: -22 + 22 = 0 0 + -7k = -5 + 22 -7k = -5 + 22 Combine like terms: -5 + 22 = 17 -7k = 17 Divide each side by '-7'. k = -2.428571429 Simplifying k = -2.428571429
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