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Simplifying (25 + 6i) + -1(33 + 14i) = 0 Remove parenthesis around (25 + 6i) 25 + 6i + -1(33 + 14i) = 0 25 + 6i + (33 * -1 + 14i * -1) = 0 25 + 6i + (-33 + -14i) = 0 Reorder the terms: 25 + -33 + 6i + -14i = 0 Combine like terms: 25 + -33 = -8 -8 + 6i + -14i = 0 Combine like terms: 6i + -14i = -8i -8 + -8i = 0 Solving -8 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -8i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8i = 0 + 8 -8i = 0 + 8 Combine like terms: 0 + 8 = 8 -8i = 8 Divide each side by '-8'. i = -1 Simplifying i = -1
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