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Simplifying -7(k + -3) + -1(3k + -1) = -11k Reorder the terms: -7(-3 + k) + -1(3k + -1) = -11k (-3 * -7 + k * -7) + -1(3k + -1) = -11k (21 + -7k) + -1(3k + -1) = -11k Reorder the terms: 21 + -7k + -1(-1 + 3k) = -11k 21 + -7k + (-1 * -1 + 3k * -1) = -11k 21 + -7k + (1 + -3k) = -11k Reorder the terms: 21 + 1 + -7k + -3k = -11k Combine like terms: 21 + 1 = 22 22 + -7k + -3k = -11k Combine like terms: -7k + -3k = -10k 22 + -10k = -11k Solving 22 + -10k = -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. 22 + -10k + 11k = -11k + 11k Combine like terms: -10k + 11k = 1k 22 + 1k = -11k + 11k Combine like terms: -11k + 11k = 0 22 + 1k = 0 Add '-22' to each side of the equation. 22 + -22 + 1k = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 1k = 0 + -22 1k = 0 + -22 Combine like terms: 0 + -22 = -22 1k = -22 Divide each side by '1'. k = -22 Simplifying k = -22
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