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Simplifying (2 + 7i) + -1(9 + -7i) = 0 Remove parenthesis around (2 + 7i) 2 + 7i + -1(9 + -7i) = 0 2 + 7i + (9 * -1 + -7i * -1) = 0 2 + 7i + (-9 + 7i) = 0 Reorder the terms: 2 + -9 + 7i + 7i = 0 Combine like terms: 2 + -9 = -7 -7 + 7i + 7i = 0 Combine like terms: 7i + 7i = 14i -7 + 14i = 0 Solving -7 + 14i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 14i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 14i = 0 + 7 14i = 0 + 7 Combine like terms: 0 + 7 = 7 14i = 7 Divide each side by '14'. i = 0.5 Simplifying i = 0.5
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