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