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Simplifying (6 + 9i) + -1(-8 + I) = 0 Remove parenthesis around (6 + 9i) 6 + 9i + -1(-8 + I) = 0 6 + 9i + (-8 * -1 + I * -1) = 0 6 + 9i + (8 + -1I) = 0 Reorder the terms: 6 + 8 + -1I + 9i = 0 Combine like terms: 6 + 8 = 14 14 + -1I + 9i = 0 Solving 14 + -1I + 9i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -1I + -14 + 9i = 0 + -14 Reorder the terms: 14 + -14 + -1I + 9i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1I + 9i = 0 + -14 -1I + 9i = 0 + -14 Combine like terms: 0 + -14 = -14 -1I + 9i = -14 Add '-9i' to each side of the equation. -1I + 9i + -9i = -14 + -9i Combine like terms: 9i + -9i = 0 -1I + 0 = -14 + -9i -1I = -14 + -9i Divide each side by '-1'. I = 14 + 9i Simplifying I = 14 + 9i
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