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Simplifying 5i + 4 = 14 + 4i + 11 Reorder the terms: 4 + 5i = 14 + 4i + 11 Reorder the terms: 4 + 5i = 14 + 11 + 4i Combine like terms: 14 + 11 = 25 4 + 5i = 25 + 4i Solving 4 + 5i = 25 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 4 + 5i + -4i = 25 + 4i + -4i Combine like terms: 5i + -4i = 1i 4 + 1i = 25 + 4i + -4i Combine like terms: 4i + -4i = 0 4 + 1i = 25 + 0 4 + 1i = 25 Add '-4' to each side of the equation. 4 + -4 + 1i = 25 + -4 Combine like terms: 4 + -4 = 0 0 + 1i = 25 + -4 1i = 25 + -4 Combine like terms: 25 + -4 = 21 1i = 21 Divide each side by '1'. i = 21 Simplifying i = 21
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