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Simplifying 2h + 5k + -1h + 3k + 4h = 0 Reorder the terms: 2h + -1h + 4h + 5k + 3k = 0 Combine like terms: 2h + -1h = 1h 1h + 4h + 5k + 3k = 0 Combine like terms: 1h + 4h = 5h 5h + 5k + 3k = 0 Combine like terms: 5k + 3k = 8k 5h + 8k = 0 Solving 5h + 8k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8k' to each side of the equation. 5h + 8k + -8k = 0 + -8k Combine like terms: 8k + -8k = 0 5h + 0 = 0 + -8k 5h = 0 + -8k Remove the zero: 5h = -8k Divide each side by '5'. h = -1.6k Simplifying h = -1.6k
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