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Simplifying (6 + -1m) + 3ni = -12 + 27 Remove parenthesis around (6 + -1m) 6 + -1m + 3ni = -12 + 27 Reorder the terms: 6 + 3in + -1m = -12 + 27 Combine like terms: -12 + 27 = 15 6 + 3in + -1m = 15 Solving 6 + 3in + -1m = 15 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3in + -6 + -1m = 15 + -6 Reorder the terms: 6 + -6 + 3in + -1m = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 3in + -1m = 15 + -6 3in + -1m = 15 + -6 Combine like terms: 15 + -6 = 9 3in + -1m = 9 Add 'm' to each side of the equation. 3in + -1m + m = 9 + m Combine like terms: -1m + m = 0 3in + 0 = 9 + m 3in = 9 + m Divide each side by '3n'. i = 3n-1 + 0.3333333333mn-1 Simplifying i = 3n-1 + 0.3333333333mn-1 Reorder the terms: i = 0.3333333333mn-1 + 3n-1
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