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