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Simplifying -4(k + -2) + -3 = 29 + -7k Reorder the terms: -4(-2 + k) + -3 = 29 + -7k (-2 * -4 + k * -4) + -3 = 29 + -7k (8 + -4k) + -3 = 29 + -7k Reorder the terms: 8 + -3 + -4k = 29 + -7k Combine like terms: 8 + -3 = 5 5 + -4k = 29 + -7k Solving 5 + -4k = 29 + -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. 5 + -4k + 7k = 29 + -7k + 7k Combine like terms: -4k + 7k = 3k 5 + 3k = 29 + -7k + 7k Combine like terms: -7k + 7k = 0 5 + 3k = 29 + 0 5 + 3k = 29 Add '-5' to each side of the equation. 5 + -5 + 3k = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = 29 + -5 3k = 29 + -5 Combine like terms: 29 + -5 = 24 3k = 24 Divide each side by '3'. k = 8 Simplifying k = 8
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