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Simplifying 4k + -4 + -3k = 13 + -7k + -1 + 8 Reorder the terms: -4 + 4k + -3k = 13 + -7k + -1 + 8 Combine like terms: 4k + -3k = 1k -4 + 1k = 13 + -7k + -1 + 8 Reorder the terms: -4 + 1k = 13 + -1 + 8 + -7k Combine like terms: 13 + -1 = 12 -4 + 1k = 12 + 8 + -7k Combine like terms: 12 + 8 = 20 -4 + 1k = 20 + -7k Solving -4 + 1k = 20 + -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. -4 + 1k + 7k = 20 + -7k + 7k Combine like terms: 1k + 7k = 8k -4 + 8k = 20 + -7k + 7k Combine like terms: -7k + 7k = 0 -4 + 8k = 20 + 0 -4 + 8k = 20 Add '4' to each side of the equation. -4 + 4 + 8k = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 8k = 20 + 4 8k = 20 + 4 Combine like terms: 20 + 4 = 24 8k = 24 Divide each side by '8'. k = 3 Simplifying k = 3
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