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