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Simplifying (M + 1) + 3ni = 5 + -9i Reorder the terms: (1 + M) + 3ni = 5 + -9i Remove parenthesis around (1 + M) 1 + M + 3ni = 5 + -9i Solving 1 + M + 3in = 5 + -9i Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + M + -1 + 3in = 5 + -1 + -9i Reorder the terms: 1 + -1 + M + 3in = 5 + -1 + -9i Combine like terms: 1 + -1 = 0 0 + M + 3in = 5 + -1 + -9i M + 3in = 5 + -1 + -9i Combine like terms: 5 + -1 = 4 M + 3in = 4 + -9i Add '-3in' to each side of the equation. M + 3in + -3in = 4 + -9i + -3in Combine like terms: 3in + -3in = 0 M + 0 = 4 + -9i + -3in M = 4 + -9i + -3in Simplifying M = 4 + -9i + -3in
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