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Simplifying -7k + 27 = 3 + 4(-2k + 5) Reorder the terms: 27 + -7k = 3 + 4(-2k + 5) Reorder the terms: 27 + -7k = 3 + 4(5 + -2k) 27 + -7k = 3 + (5 * 4 + -2k * 4) 27 + -7k = 3 + (20 + -8k) Combine like terms: 3 + 20 = 23 27 + -7k = 23 + -8k Solving 27 + -7k = 23 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 27 + -7k + 8k = 23 + -8k + 8k Combine like terms: -7k + 8k = 1k 27 + 1k = 23 + -8k + 8k Combine like terms: -8k + 8k = 0 27 + 1k = 23 + 0 27 + 1k = 23 Add '-27' to each side of the equation. 27 + -27 + 1k = 23 + -27 Combine like terms: 27 + -27 = 0 0 + 1k = 23 + -27 1k = 23 + -27 Combine like terms: 23 + -27 = -4 1k = -4 Divide each side by '1'. k = -4 Simplifying k = -4
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