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Simplifying 21h + -127 + 5i + -4h + 3 + -2i = 0 Reorder the terms: -127 + 3 + 21h + -4h + 5i + -2i = 0 Combine like terms: -127 + 3 = -124 -124 + 21h + -4h + 5i + -2i = 0 Combine like terms: 21h + -4h = 17h -124 + 17h + 5i + -2i = 0 Combine like terms: 5i + -2i = 3i -124 + 17h + 3i = 0 Solving -124 + 17h + 3i = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '124' to each side of the equation. -124 + 17h + 124 + 3i = 0 + 124 Reorder the terms: -124 + 124 + 17h + 3i = 0 + 124 Combine like terms: -124 + 124 = 0 0 + 17h + 3i = 0 + 124 17h + 3i = 0 + 124 Combine like terms: 0 + 124 = 124 17h + 3i = 124 Add '-3i' to each side of the equation. 17h + 3i + -3i = 124 + -3i Combine like terms: 3i + -3i = 0 17h + 0 = 124 + -3i 17h = 124 + -3i Divide each side by '17'. h = 7.294117647 + -0.1764705882i Simplifying h = 7.294117647 + -0.1764705882i
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