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Simplifying 10i + 4 = 5i + 59 Reorder the terms: 4 + 10i = 5i + 59 Reorder the terms: 4 + 10i = 59 + 5i Solving 4 + 10i = 59 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 4 + 10i + -5i = 59 + 5i + -5i Combine like terms: 10i + -5i = 5i 4 + 5i = 59 + 5i + -5i Combine like terms: 5i + -5i = 0 4 + 5i = 59 + 0 4 + 5i = 59 Add '-4' to each side of the equation. 4 + -4 + 5i = 59 + -4 Combine like terms: 4 + -4 = 0 0 + 5i = 59 + -4 5i = 59 + -4 Combine like terms: 59 + -4 = 55 5i = 55 Divide each side by '5'. i = 11 Simplifying i = 11
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