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Simplifying 5i + 4 = 14 + 4i Reorder the terms: 4 + 5i = 14 + 4i Solving 4 + 5i = 14 + 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 = 14 + 4i + -4i Combine like terms: 5i + -4i = 1i 4 + 1i = 14 + 4i + -4i Combine like terms: 4i + -4i = 0 4 + 1i = 14 + 0 4 + 1i = 14 Add '-4' to each side of the equation. 4 + -4 + 1i = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 1i = 14 + -4 1i = 14 + -4 Combine like terms: 14 + -4 = 10 1i = 10 Divide each side by '1'. i = 10 Simplifying i = 10
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