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Simplifying (3m + 4) + (3 + -1n) * i = 16 + -3i Reorder the terms: (4 + 3m) + (3 + -1n) * i = 16 + -3i Remove parenthesis around (4 + 3m) 4 + 3m + (3 + -1n) * i = 16 + -3i Reorder the terms for easier multiplication: 4 + 3m + i(3 + -1n) = 16 + -3i 4 + 3m + (3 * i + -1n * i) = 16 + -3i 4 + 3m + (3i + -1in) = 16 + -3i Reorder the terms: 4 + 3i + -1in + 3m = 16 + -3i Solving 4 + 3i + -1in + 3m = 16 + -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. 4 + 3i + -1in + 3i + 3m = 16 + -3i + 3i Reorder the terms: 4 + 3i + 3i + -1in + 3m = 16 + -3i + 3i Combine like terms: 3i + 3i = 6i 4 + 6i + -1in + 3m = 16 + -3i + 3i Combine like terms: -3i + 3i = 0 4 + 6i + -1in + 3m = 16 + 0 4 + 6i + -1in + 3m = 16 Add '-4' to each side of the equation. 4 + 6i + -1in + -4 + 3m = 16 + -4 Reorder the terms: 4 + -4 + 6i + -1in + 3m = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 6i + -1in + 3m = 16 + -4 6i + -1in + 3m = 16 + -4 Combine like terms: 16 + -4 = 12 6i + -1in + 3m = 12 Add '-3m' to each side of the equation. 6i + -1in + 3m + -3m = 12 + -3m Combine like terms: 3m + -3m = 0 6i + -1in + 0 = 12 + -3m 6i + -1in = 12 + -3m Reorder the terms: -12 + 6i + -1in + 3m = 12 + -3m + -12 + 3m Reorder the terms: -12 + 6i + -1in + 3m = 12 + -12 + -3m + 3m Combine like terms: 12 + -12 = 0 -12 + 6i + -1in + 3m = 0 + -3m + 3m -12 + 6i + -1in + 3m = -3m + 3m Combine like terms: -3m + 3m = 0 -12 + 6i + -1in + 3m = 0 The solution to this equation could not be determined.
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