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Simplifying 7k + -2 = 3k + 6k + 16 Reorder the terms: -2 + 7k = 3k + 6k + 16 Reorder the terms: -2 + 7k = 16 + 3k + 6k Combine like terms: 3k + 6k = 9k -2 + 7k = 16 + 9k Solving -2 + 7k = 16 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -2 + 7k + -9k = 16 + 9k + -9k Combine like terms: 7k + -9k = -2k -2 + -2k = 16 + 9k + -9k Combine like terms: 9k + -9k = 0 -2 + -2k = 16 + 0 -2 + -2k = 16 Add '2' to each side of the equation. -2 + 2 + -2k = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -2k = 16 + 2 -2k = 16 + 2 Combine like terms: 16 + 2 = 18 -2k = 18 Divide each side by '-2'. k = -9 Simplifying k = -9
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