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Simplifying 22 + 7k = 9(3k + -2) Reorder the terms: 22 + 7k = 9(-2 + 3k) 22 + 7k = (-2 * 9 + 3k * 9) 22 + 7k = (-18 + 27k) Solving 22 + 7k = -18 + 27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27k' to each side of the equation. 22 + 7k + -27k = -18 + 27k + -27k Combine like terms: 7k + -27k = -20k 22 + -20k = -18 + 27k + -27k Combine like terms: 27k + -27k = 0 22 + -20k = -18 + 0 22 + -20k = -18 Add '-22' to each side of the equation. 22 + -22 + -20k = -18 + -22 Combine like terms: 22 + -22 = 0 0 + -20k = -18 + -22 -20k = -18 + -22 Combine like terms: -18 + -22 = -40 -20k = -40 Divide each side by '-20'. k = 2 Simplifying k = 2
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