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Simplifying (2 + 25i) + -1(17 + 24i) = 0 Remove parenthesis around (2 + 25i) 2 + 25i + -1(17 + 24i) = 0 2 + 25i + (17 * -1 + 24i * -1) = 0 2 + 25i + (-17 + -24i) = 0 Reorder the terms: 2 + -17 + 25i + -24i = 0 Combine like terms: 2 + -17 = -15 -15 + 25i + -24i = 0 Combine like terms: 25i + -24i = 1i -15 + 1i = 0 Solving -15 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1i = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1i = 0 + 15 1i = 0 + 15 Combine like terms: 0 + 15 = 15 1i = 15 Divide each side by '1'. i = 15 Simplifying i = 15
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