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Simplifying 4i + -5 = 2i + -6 + i Reorder the terms: -5 + 4i = 2i + -6 + i Reorder the terms: -5 + 4i = -6 + 2i + i Combine like terms: 2i + i = 3i -5 + 4i = -6 + 3i Solving -5 + 4i = -6 + 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. -5 + 4i + -3i = -6 + 3i + -3i Combine like terms: 4i + -3i = 1i -5 + 1i = -6 + 3i + -3i Combine like terms: 3i + -3i = 0 -5 + 1i = -6 + 0 -5 + 1i = -6 Add '5' to each side of the equation. -5 + 5 + 1i = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 1i = -6 + 5 1i = -6 + 5 Combine like terms: -6 + 5 = -1 1i = -1 Divide each side by '1'. i = -1 Simplifying i = -1
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