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Simplifying -4(-5 + 2k) + -8 = -7k + 4 (-5 * -4 + 2k * -4) + -8 = -7k + 4 (20 + -8k) + -8 = -7k + 4 Reorder the terms: 20 + -8 + -8k = -7k + 4 Combine like terms: 20 + -8 = 12 12 + -8k = -7k + 4 Reorder the terms: 12 + -8k = 4 + -7k Solving 12 + -8k = 4 + -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. 12 + -8k + 7k = 4 + -7k + 7k Combine like terms: -8k + 7k = -1k 12 + -1k = 4 + -7k + 7k Combine like terms: -7k + 7k = 0 12 + -1k = 4 + 0 12 + -1k = 4 Add '-12' to each side of the equation. 12 + -12 + -1k = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -1k = 4 + -12 -1k = 4 + -12 Combine like terms: 4 + -12 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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