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Simplifying (9 + -6i) * m = m Reorder the terms for easier multiplication: m(9 + -6i) = m (9 * m + -6i * m) = m Reorder the terms: (-6im + 9m) = m (-6im + 9m) = m Solving -6im + 9m = m Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9m' to each side of the equation. -6im + 9m + -9m = m + -9m Combine like terms: 9m + -9m = 0 -6im + 0 = m + -9m -6im = m + -9m Combine like terms: m + -9m = -8m -6im = -8m Divide each side by '-6m'. i = 1.333333333 Simplifying i = 1.333333333
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