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Simplifying 5i + 5(2 + 2i) = 25 5i + (2 * 5 + 2i * 5) = 25 5i + (10 + 10i) = 25 Reorder the terms: 10 + 5i + 10i = 25 Combine like terms: 5i + 10i = 15i 10 + 15i = 25 Solving 10 + 15i = 25 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 15i = 25 + -10 Combine like terms: 10 + -10 = 0 0 + 15i = 25 + -10 15i = 25 + -10 Combine like terms: 25 + -10 = 15 15i = 15 Divide each side by '15'. i = 1 Simplifying i = 1
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