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Simplifying 10k + -8 = 3k + 34 Reorder the terms: -8 + 10k = 3k + 34 Reorder the terms: -8 + 10k = 34 + 3k Solving -8 + 10k = 34 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -8 + 10k + -3k = 34 + 3k + -3k Combine like terms: 10k + -3k = 7k -8 + 7k = 34 + 3k + -3k Combine like terms: 3k + -3k = 0 -8 + 7k = 34 + 0 -8 + 7k = 34 Add '8' to each side of the equation. -8 + 8 + 7k = 34 + 8 Combine like terms: -8 + 8 = 0 0 + 7k = 34 + 8 7k = 34 + 8 Combine like terms: 34 + 8 = 42 7k = 42 Divide each side by '7'. k = 6 Simplifying k = 6
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