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Simplifying (3m + 4) + (3 + -1ni) = 16 + -3i Reorder the terms: (4 + 3m) + (3 + -1ni) = 16 + -3i Remove parenthesis around (4 + 3m) 4 + 3m + (3 + -1ni) = 16 + -3i Remove parenthesis around (3 + -1in) 4 + 3m + 3 + -1in = 16 + -3i Reorder the terms: 4 + 3 + -1in + 3m = 16 + -3i Combine like terms: 4 + 3 = 7 7 + -1in + 3m = 16 + -3i Solving 7 + -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. 7 + -1in + 3i + 3m = 16 + -3i + 3i Reorder the terms: 7 + 3i + -1in + 3m = 16 + -3i + 3i Combine like terms: -3i + 3i = 0 7 + 3i + -1in + 3m = 16 + 0 7 + 3i + -1in + 3m = 16 Add '-7' to each side of the equation. 7 + 3i + -1in + -7 + 3m = 16 + -7 Reorder the terms: 7 + -7 + 3i + -1in + 3m = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 3i + -1in + 3m = 16 + -7 3i + -1in + 3m = 16 + -7 Combine like terms: 16 + -7 = 9 3i + -1in + 3m = 9 Add '-3m' to each side of the equation. 3i + -1in + 3m + -3m = 9 + -3m Combine like terms: 3m + -3m = 0 3i + -1in + 0 = 9 + -3m 3i + -1in = 9 + -3m Reorder the terms: -9 + 3i + -1in + 3m = 9 + -3m + -9 + 3m Reorder the terms: -9 + 3i + -1in + 3m = 9 + -9 + -3m + 3m Combine like terms: 9 + -9 = 0 -9 + 3i + -1in + 3m = 0 + -3m + 3m -9 + 3i + -1in + 3m = -3m + 3m Combine like terms: -3m + 3m = 0 -9 + 3i + -1in + 3m = 0 The solution to this equation could not be determined.
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