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Simplifying -3(-7k + -8) = -22 + -2k Reorder the terms: -3(-8 + -7k) = -22 + -2k (-8 * -3 + -7k * -3) = -22 + -2k (24 + 21k) = -22 + -2k Solving 24 + 21k = -22 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 24 + 21k + 2k = -22 + -2k + 2k Combine like terms: 21k + 2k = 23k 24 + 23k = -22 + -2k + 2k Combine like terms: -2k + 2k = 0 24 + 23k = -22 + 0 24 + 23k = -22 Add '-24' to each side of the equation. 24 + -24 + 23k = -22 + -24 Combine like terms: 24 + -24 = 0 0 + 23k = -22 + -24 23k = -22 + -24 Combine like terms: -22 + -24 = -46 23k = -46 Divide each side by '23'. k = -2 Simplifying k = -2
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