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Simplifying 11(-2k + 2) = -7k + -38 Reorder the terms: 11(2 + -2k) = -7k + -38 (2 * 11 + -2k * 11) = -7k + -38 (22 + -22k) = -7k + -38 Reorder the terms: 22 + -22k = -38 + -7k Solving 22 + -22k = -38 + -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 + -22k + 7k = -38 + -7k + 7k Combine like terms: -22k + 7k = -15k 22 + -15k = -38 + -7k + 7k Combine like terms: -7k + 7k = 0 22 + -15k = -38 + 0 22 + -15k = -38 Add '-22' to each side of the equation. 22 + -22 + -15k = -38 + -22 Combine like terms: 22 + -22 = 0 0 + -15k = -38 + -22 -15k = -38 + -22 Combine like terms: -38 + -22 = -60 -15k = -60 Divide each side by '-15'. k = 4 Simplifying k = 4
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