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Simplifying 5h + 8i + -3i + -2h = 0 Reorder the terms: 5h + -2h + 8i + -3i = 0 Combine like terms: 5h + -2h = 3h 3h + 8i + -3i = 0 Combine like terms: 8i + -3i = 5i 3h + 5i = 0 Solving 3h + 5i = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5i' to each side of the equation. 3h + 5i + -5i = 0 + -5i Combine like terms: 5i + -5i = 0 3h + 0 = 0 + -5i 3h = 0 + -5i Remove the zero: 3h = -5i Divide each side by '3'. h = -1.666666667i Simplifying h = -1.666666667i
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