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