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Simplifying 3 + 3i + 8 + -2i + -7 + 4i = 0 Reorder the terms: 3 + 8 + -7 + 3i + -2i + 4i = 0 Combine like terms: 3 + 8 = 11 11 + -7 + 3i + -2i + 4i = 0 Combine like terms: 11 + -7 = 4 4 + 3i + -2i + 4i = 0 Combine like terms: 3i + -2i = 1i 4 + 1i + 4i = 0 Combine like terms: 1i + 4i = 5i 4 + 5i = 0 Solving 4 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5i = 0 + -4 5i = 0 + -4 Combine like terms: 0 + -4 = -4 5i = -4 Divide each side by '5'. i = -0.8 Simplifying i = -0.8
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