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Simplifying 3i + -4 = 5i + 13 Reorder the terms: -4 + 3i = 5i + 13 Reorder the terms: -4 + 3i = 13 + 5i Solving -4 + 3i = 13 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. -4 + 3i + -5i = 13 + 5i + -5i Combine like terms: 3i + -5i = -2i -4 + -2i = 13 + 5i + -5i Combine like terms: 5i + -5i = 0 -4 + -2i = 13 + 0 -4 + -2i = 13 Add '4' to each side of the equation. -4 + 4 + -2i = 13 + 4 Combine like terms: -4 + 4 = 0 0 + -2i = 13 + 4 -2i = 13 + 4 Combine like terms: 13 + 4 = 17 -2i = 17 Divide each side by '-2'. i = -8.5 Simplifying i = -8.5
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