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Simplifying (7 + n) + (4m + -18) * i = 10 + -6i Remove parenthesis around (7 + n) 7 + n + (4m + -18) * i = 10 + -6i Reorder the terms: 7 + n + (-18 + 4m) * i = 10 + -6i Reorder the terms for easier multiplication: 7 + n + i(-18 + 4m) = 10 + -6i 7 + n + (-18 * i + 4m * i) = 10 + -6i 7 + n + (-18i + 4im) = 10 + -6i Reorder the terms: 7 + -18i + 4im + n = 10 + -6i Solving 7 + -18i + 4im + n = 10 + -6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. 7 + -18i + 4im + 6i + n = 10 + -6i + 6i Reorder the terms: 7 + -18i + 6i + 4im + n = 10 + -6i + 6i Combine like terms: -18i + 6i = -12i 7 + -12i + 4im + n = 10 + -6i + 6i Combine like terms: -6i + 6i = 0 7 + -12i + 4im + n = 10 + 0 7 + -12i + 4im + n = 10 Add '-7' to each side of the equation. 7 + -12i + 4im + -7 + n = 10 + -7 Reorder the terms: 7 + -7 + -12i + 4im + n = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -12i + 4im + n = 10 + -7 -12i + 4im + n = 10 + -7 Combine like terms: 10 + -7 = 3 -12i + 4im + n = 3 Add '-1n' to each side of the equation. -12i + 4im + n + -1n = 3 + -1n Combine like terms: n + -1n = 0 -12i + 4im + 0 = 3 + -1n -12i + 4im = 3 + -1n Reorder the terms: -3 + -12i + 4im + n = 3 + -1n + -3 + n Reorder the terms: -3 + -12i + 4im + n = 3 + -3 + -1n + n Combine like terms: 3 + -3 = 0 -3 + -12i + 4im + n = 0 + -1n + n -3 + -12i + 4im + n = -1n + n Combine like terms: -1n + n = 0 -3 + -12i + 4im + n = 0 The solution to this equation could not be determined.
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