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Simplifying (3m + 4) + (3 + -1n) = 16 + -3i Reorder the terms: (4 + 3m) + (3 + -1n) = 16 + -3i Remove parenthesis around (4 + 3m) 4 + 3m + (3 + -1n) = 16 + -3i Remove parenthesis around (3 + -1n) 4 + 3m + 3 + -1n = 16 + -3i Reorder the terms: 4 + 3 + 3m + -1n = 16 + -3i Combine like terms: 4 + 3 = 7 7 + 3m + -1n = 16 + -3i Solving 7 + 3m + -1n = 16 + -3i Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 3m + -7 + -1n = 16 + -7 + -3i Reorder the terms: 7 + -7 + 3m + -1n = 16 + -7 + -3i Combine like terms: 7 + -7 = 0 0 + 3m + -1n = 16 + -7 + -3i 3m + -1n = 16 + -7 + -3i Combine like terms: 16 + -7 = 9 3m + -1n = 9 + -3i Add 'n' to each side of the equation. 3m + -1n + n = 9 + -3i + n Combine like terms: -1n + n = 0 3m + 0 = 9 + -3i + n 3m = 9 + -3i + n Divide each side by '3'. m = 3 + -1i + 0.3333333333n Simplifying m = 3 + -1i + 0.3333333333n
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