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Simplifying 2m + 1(3n + 1) * i = 6 + -8i Reorder the terms: 2m + 1(1 + 3n) * i = 6 + -8i Reorder the terms for easier multiplication: 2m + 1i(1 + 3n) = 6 + -8i 2m + (1 * 1i + 3n * 1i) = 6 + -8i 2m + (1i + 3in) = 6 + -8i Reorder the terms: 1i + 3in + 2m = 6 + -8i Solving 1i + 3in + 2m = 6 + -8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8i' to each side of the equation. 1i + 3in + 8i + 2m = 6 + -8i + 8i Reorder the terms: 1i + 8i + 3in + 2m = 6 + -8i + 8i Combine like terms: 1i + 8i = 9i 9i + 3in + 2m = 6 + -8i + 8i Combine like terms: -8i + 8i = 0 9i + 3in + 2m = 6 + 0 9i + 3in + 2m = 6 Add '-2m' to each side of the equation. 9i + 3in + 2m + -2m = 6 + -2m Combine like terms: 2m + -2m = 0 9i + 3in + 0 = 6 + -2m 9i + 3in = 6 + -2m Reorder the terms: -6 + 9i + 3in + 2m = 6 + -2m + -6 + 2m Reorder the terms: -6 + 9i + 3in + 2m = 6 + -6 + -2m + 2m Combine like terms: 6 + -6 = 0 -6 + 9i + 3in + 2m = 0 + -2m + 2m -6 + 9i + 3in + 2m = -2m + 2m Combine like terms: -2m + 2m = 0 -6 + 9i + 3in + 2m = 0 The solution to this equation could not be determined.
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