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Simplifying (2 + -4i) + -1(-7 + I) = 0 Remove parenthesis around (2 + -4i) 2 + -4i + -1(-7 + I) = 0 2 + -4i + (-7 * -1 + I * -1) = 0 2 + -4i + (7 + -1I) = 0 Reorder the terms: 2 + 7 + -1I + -4i = 0 Combine like terms: 2 + 7 = 9 9 + -1I + -4i = 0 Solving 9 + -1I + -4i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1I + -9 + -4i = 0 + -9 Reorder the terms: 9 + -9 + -1I + -4i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1I + -4i = 0 + -9 -1I + -4i = 0 + -9 Combine like terms: 0 + -9 = -9 -1I + -4i = -9 Add '4i' to each side of the equation. -1I + -4i + 4i = -9 + 4i Combine like terms: -4i + 4i = 0 -1I + 0 = -9 + 4i -1I = -9 + 4i Divide each side by '-1'. I = 9 + -4i Simplifying I = 9 + -4i
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