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Simplifying (6 + -1m) + 3 = -12 + 27i Remove parenthesis around (6 + -1m) 6 + -1m + 3 = -12 + 27i Reorder the terms: 6 + 3 + -1m = -12 + 27i Combine like terms: 6 + 3 = 9 9 + -1m = -12 + 27i Solving 9 + -1m = -12 + 27i Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = -12 + -9 + 27i Combine like terms: 9 + -9 = 0 0 + -1m = -12 + -9 + 27i -1m = -12 + -9 + 27i Combine like terms: -12 + -9 = -21 -1m = -21 + 27i Divide each side by '-1'. m = 21 + -27i Simplifying m = 21 + -27i
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