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Simplifying (m + 2) + 3ni = 5 + -12i Reorder the terms: (2 + m) + 3ni = 5 + -12i Remove parenthesis around (2 + m) 2 + m + 3ni = 5 + -12i Reorder the terms: 2 + 3in + m = 5 + -12i Solving 2 + 3in + m = 5 + -12i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12i' to each side of the equation. 2 + 3in + 12i + m = 5 + -12i + 12i Reorder the terms: 2 + 12i + 3in + m = 5 + -12i + 12i Combine like terms: -12i + 12i = 0 2 + 12i + 3in + m = 5 + 0 2 + 12i + 3in + m = 5 Add '-2' to each side of the equation. 2 + 12i + 3in + -2 + m = 5 + -2 Reorder the terms: 2 + -2 + 12i + 3in + m = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 12i + 3in + m = 5 + -2 12i + 3in + m = 5 + -2 Combine like terms: 5 + -2 = 3 12i + 3in + m = 3 Add '-1m' to each side of the equation. 12i + 3in + m + -1m = 3 + -1m Combine like terms: m + -1m = 0 12i + 3in + 0 = 3 + -1m 12i + 3in = 3 + -1m Reorder the terms: -3 + 12i + 3in + m = 3 + -1m + -3 + m Reorder the terms: -3 + 12i + 3in + m = 3 + -3 + -1m + m Combine like terms: 3 + -3 = 0 -3 + 12i + 3in + m = 0 + -1m + m -3 + 12i + 3in + m = -1m + m Combine like terms: -1m + m = 0 -3 + 12i + 3in + m = 0 The solution to this equation could not be determined.
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