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Simplifying 3k + 7k + -2 = 6k + 16 Reorder the terms: -2 + 3k + 7k = 6k + 16 Combine like terms: 3k + 7k = 10k -2 + 10k = 6k + 16 Reorder the terms: -2 + 10k = 16 + 6k Solving -2 + 10k = 16 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -2 + 10k + -6k = 16 + 6k + -6k Combine like terms: 10k + -6k = 4k -2 + 4k = 16 + 6k + -6k Combine like terms: 6k + -6k = 0 -2 + 4k = 16 + 0 -2 + 4k = 16 Add '2' to each side of the equation. -2 + 2 + 4k = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 4k = 16 + 2 4k = 16 + 2 Combine like terms: 16 + 2 = 18 4k = 18 Divide each side by '4'. k = 4.5 Simplifying k = 4.5
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