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Simplifying 22 + -7k = -6(6 + 6k) 22 + -7k = (6 * -6 + 6k * -6) 22 + -7k = (-36 + -36k) Solving 22 + -7k = -36 + -36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36k' to each side of the equation. 22 + -7k + 36k = -36 + -36k + 36k Combine like terms: -7k + 36k = 29k 22 + 29k = -36 + -36k + 36k Combine like terms: -36k + 36k = 0 22 + 29k = -36 + 0 22 + 29k = -36 Add '-22' to each side of the equation. 22 + -22 + 29k = -36 + -22 Combine like terms: 22 + -22 = 0 0 + 29k = -36 + -22 29k = -36 + -22 Combine like terms: -36 + -22 = -58 29k = -58 Divide each side by '29'. k = -2 Simplifying k = -2
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