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Simplifying 5(5i + 1) = (2i + 4) Reorder the terms: 5(1 + 5i) = (2i + 4) (1 * 5 + 5i * 5) = (2i + 4) (5 + 25i) = (2i + 4) Reorder the terms: 5 + 25i = (4 + 2i) Remove parenthesis around (4 + 2i) 5 + 25i = 4 + 2i Solving 5 + 25i = 4 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. 5 + 25i + -2i = 4 + 2i + -2i Combine like terms: 25i + -2i = 23i 5 + 23i = 4 + 2i + -2i Combine like terms: 2i + -2i = 0 5 + 23i = 4 + 0 5 + 23i = 4 Add '-5' to each side of the equation. 5 + -5 + 23i = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 23i = 4 + -5 23i = 4 + -5 Combine like terms: 4 + -5 = -1 23i = -1 Divide each side by '23'. i = -0.04347826087 Simplifying i = -0.04347826087
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