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Simplifying 0 = 5h + k + 7k + 7h + 3k + 7h + 6h + -1k + 2 + 2k + 8h + 4h + 8k Reorder the terms: 0 = 2 + 5h + 7h + 7h + 6h + 8h + 4h + k + 7k + 3k + -1k + 2k + 8k Combine like terms: 5h + 7h = 12h 0 = 2 + 12h + 7h + 6h + 8h + 4h + k + 7k + 3k + -1k + 2k + 8k Combine like terms: 12h + 7h = 19h 0 = 2 + 19h + 6h + 8h + 4h + k + 7k + 3k + -1k + 2k + 8k Combine like terms: 19h + 6h = 25h 0 = 2 + 25h + 8h + 4h + k + 7k + 3k + -1k + 2k + 8k Combine like terms: 25h + 8h = 33h 0 = 2 + 33h + 4h + k + 7k + 3k + -1k + 2k + 8k Combine like terms: 33h + 4h = 37h 0 = 2 + 37h + k + 7k + 3k + -1k + 2k + 8k Combine like terms: k + 7k = 8k 0 = 2 + 37h + 8k + 3k + -1k + 2k + 8k Combine like terms: 8k + 3k = 11k 0 = 2 + 37h + 11k + -1k + 2k + 8k Combine like terms: 11k + -1k = 10k 0 = 2 + 37h + 10k + 2k + 8k Combine like terms: 10k + 2k = 12k 0 = 2 + 37h + 12k + 8k Combine like terms: 12k + 8k = 20k 0 = 2 + 37h + 20k Solving 0 = 2 + 37h + 20k Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-37h' to each side of the equation. 0 + -37h = 2 + 37h + -37h + 20k Remove the zero: -37h = 2 + 37h + -37h + 20k Combine like terms: 37h + -37h = 0 -37h = 2 + 0 + 20k -37h = 2 + 20k Divide each side by '-37'. h = -0.05405405405 + -0.5405405405k Simplifying h = -0.05405405405 + -0.5405405405k
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