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Simplifying (2m + 5) + (1 + -1n) * i = -2 + 4i Reorder the terms: (5 + 2m) + (1 + -1n) * i = -2 + 4i Remove parenthesis around (5 + 2m) 5 + 2m + (1 + -1n) * i = -2 + 4i Reorder the terms for easier multiplication: 5 + 2m + i(1 + -1n) = -2 + 4i 5 + 2m + (1 * i + -1n * i) = -2 + 4i 5 + 2m + (1i + -1in) = -2 + 4i Reorder the terms: 5 + 1i + -1in + 2m = -2 + 4i Solving 5 + 1i + -1in + 2m = -2 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 5 + 1i + -1in + -4i + 2m = -2 + 4i + -4i Reorder the terms: 5 + 1i + -4i + -1in + 2m = -2 + 4i + -4i Combine like terms: 1i + -4i = -3i 5 + -3i + -1in + 2m = -2 + 4i + -4i Combine like terms: 4i + -4i = 0 5 + -3i + -1in + 2m = -2 + 0 5 + -3i + -1in + 2m = -2 Add '-5' to each side of the equation. 5 + -3i + -1in + -5 + 2m = -2 + -5 Reorder the terms: 5 + -5 + -3i + -1in + 2m = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -3i + -1in + 2m = -2 + -5 -3i + -1in + 2m = -2 + -5 Combine like terms: -2 + -5 = -7 -3i + -1in + 2m = -7 Add '-2m' to each side of the equation. -3i + -1in + 2m + -2m = -7 + -2m Combine like terms: 2m + -2m = 0 -3i + -1in + 0 = -7 + -2m -3i + -1in = -7 + -2m Reorder the terms: 7 + -3i + -1in + 2m = -7 + -2m + 7 + 2m Reorder the terms: 7 + -3i + -1in + 2m = -7 + 7 + -2m + 2m Combine like terms: -7 + 7 = 0 7 + -3i + -1in + 2m = 0 + -2m + 2m 7 + -3i + -1in + 2m = -2m + 2m Combine like terms: -2m + 2m = 0 7 + -3i + -1in + 2m = 0 The solution to this equation could not be determined.
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