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