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Simplifying 3i + -13 = 2i + 9 Reorder the terms: -13 + 3i = 2i + 9 Reorder the terms: -13 + 3i = 9 + 2i Solving -13 + 3i = 9 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. -13 + 3i + -2i = 9 + 2i + -2i Combine like terms: 3i + -2i = 1i -13 + 1i = 9 + 2i + -2i Combine like terms: 2i + -2i = 0 -13 + 1i = 9 + 0 -13 + 1i = 9 Add '13' to each side of the equation. -13 + 13 + 1i = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 1i = 9 + 13 1i = 9 + 13 Combine like terms: 9 + 13 = 22 1i = 22 Divide each side by '1'. i = 22 Simplifying i = 22
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