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Simplifying 2m + (3n + 1) = 6 + -8i Reorder the terms: 2m + (1 + 3n) = 6 + -8i Remove parenthesis around (1 + 3n) 2m + 1 + 3n = 6 + -8i Reorder the terms: 1 + 2m + 3n = 6 + -8i Solving 1 + 2m + 3n = 6 + -8i Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2m + -1 + 3n = 6 + -1 + -8i Reorder the terms: 1 + -1 + 2m + 3n = 6 + -1 + -8i Combine like terms: 1 + -1 = 0 0 + 2m + 3n = 6 + -1 + -8i 2m + 3n = 6 + -1 + -8i Combine like terms: 6 + -1 = 5 2m + 3n = 5 + -8i Add '-3n' to each side of the equation. 2m + 3n + -3n = 5 + -8i + -3n Combine like terms: 3n + -3n = 0 2m + 0 = 5 + -8i + -3n 2m = 5 + -8i + -3n Divide each side by '2'. m = 2.5 + -4i + -1.5n Simplifying m = 2.5 + -4i + -1.5n
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