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