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Simplifying (3 + -1n) + (7m + -14) * i = i + 7 Remove parenthesis around (3 + -1n) 3 + -1n + (7m + -14) * i = i + 7 Reorder the terms: 3 + -1n + (-14 + 7m) * i = i + 7 Reorder the terms for easier multiplication: 3 + -1n + i(-14 + 7m) = i + 7 3 + -1n + (-14 * i + 7m * i) = i + 7 3 + -1n + (-14i + 7im) = i + 7 Reorder the terms: 3 + -14i + 7im + -1n = i + 7 Reorder the terms: 3 + -14i + 7im + -1n = 7 + i Solving 3 + -14i + 7im + -1n = 7 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 3 + -14i + 7im + -1i + -1n = 7 + i + -1i Reorder the terms: 3 + -14i + -1i + 7im + -1n = 7 + i + -1i Combine like terms: -14i + -1i = -15i 3 + -15i + 7im + -1n = 7 + i + -1i Combine like terms: i + -1i = 0 3 + -15i + 7im + -1n = 7 + 0 3 + -15i + 7im + -1n = 7 Add '-3' to each side of the equation. 3 + -15i + 7im + -3 + -1n = 7 + -3 Reorder the terms: 3 + -3 + -15i + 7im + -1n = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -15i + 7im + -1n = 7 + -3 -15i + 7im + -1n = 7 + -3 Combine like terms: 7 + -3 = 4 -15i + 7im + -1n = 4 Add 'n' to each side of the equation. -15i + 7im + -1n + n = 4 + n Combine like terms: -1n + n = 0 -15i + 7im + 0 = 4 + n -15i + 7im = 4 + n Reorder the terms: -4 + -15i + 7im + -1n = 4 + n + -4 + -1n Reorder the terms: -4 + -15i + 7im + -1n = 4 + -4 + n + -1n Combine like terms: 4 + -4 = 0 -4 + -15i + 7im + -1n = 0 + n + -1n -4 + -15i + 7im + -1n = n + -1n Combine like terms: n + -1n = 0 -4 + -15i + 7im + -1n = 0 The solution to this equation could not be determined.
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