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Simplifying 2h + -3i + 6i + 9h = 0 Reorder the terms: 2h + 9h + -3i + 6i = 0 Combine like terms: 2h + 9h = 11h 11h + -3i + 6i = 0 Combine like terms: -3i + 6i = 3i 11h + 3i = 0 Solving 11h + 3i = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3i' to each side of the equation. 11h + 3i + -3i = 0 + -3i Combine like terms: 3i + -3i = 0 11h + 0 = 0 + -3i 11h = 0 + -3i Remove the zero: 11h = -3i Divide each side by '11'. h = -0.2727272727i Simplifying h = -0.2727272727i
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