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Simplifying (2m + n) + (m + -6n) = 7 + -1i Remove parenthesis around (2m + n) 2m + n + (m + -6n) = 7 + -1i Remove parenthesis around (m + -6n) 2m + n + m + -6n = 7 + -1i Reorder the terms: 2m + m + n + -6n = 7 + -1i Combine like terms: 2m + m = 3m 3m + n + -6n = 7 + -1i Combine like terms: n + -6n = -5n 3m + -5n = 7 + -1i Solving 3m + -5n = 7 + -1i Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. 3m + -5n + 5n = 7 + -1i + 5n Combine like terms: -5n + 5n = 0 3m + 0 = 7 + -1i + 5n 3m = 7 + -1i + 5n Divide each side by '3'. m = 2.333333333 + -0.3333333333i + 1.666666667n Simplifying m = 2.333333333 + -0.3333333333i + 1.666666667n
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