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Simplifying 16k + 21 = 7k + 84 Reorder the terms: 21 + 16k = 7k + 84 Reorder the terms: 21 + 16k = 84 + 7k Solving 21 + 16k = 84 + 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. 21 + 16k + -7k = 84 + 7k + -7k Combine like terms: 16k + -7k = 9k 21 + 9k = 84 + 7k + -7k Combine like terms: 7k + -7k = 0 21 + 9k = 84 + 0 21 + 9k = 84 Add '-21' to each side of the equation. 21 + -21 + 9k = 84 + -21 Combine like terms: 21 + -21 = 0 0 + 9k = 84 + -21 9k = 84 + -21 Combine like terms: 84 + -21 = 63 9k = 63 Divide each side by '9'. k = 7 Simplifying k = 7
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