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Simplifying -5 + 8k = 7k + 4 + -7 Reorder the terms: -5 + 8k = 4 + -7 + 7k Combine like terms: 4 + -7 = -3 -5 + 8k = -3 + 7k Solving -5 + 8k = -3 + 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 + 8k + -7k = -3 + 7k + -7k Combine like terms: 8k + -7k = 1k -5 + 1k = -3 + 7k + -7k Combine like terms: 7k + -7k = 0 -5 + 1k = -3 + 0 -5 + 1k = -3 Add '5' to each side of the equation. -5 + 5 + 1k = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 1k = -3 + 5 1k = -3 + 5 Combine like terms: -3 + 5 = 2 1k = 2 Divide each side by '1'. k = 2 Simplifying k = 2
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