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Simplifying (3l + 4) + (3 + -1m) * i = 16 + -4i Reorder the terms: (4 + 3l) + (3 + -1m) * i = 16 + -4i Remove parenthesis around (4 + 3l) 4 + 3l + (3 + -1m) * i = 16 + -4i Reorder the terms for easier multiplication: 4 + 3l + i(3 + -1m) = 16 + -4i 4 + 3l + (3 * i + -1m * i) = 16 + -4i 4 + 3l + (3i + -1im) = 16 + -4i Reorder the terms: 4 + 3i + -1im + 3l = 16 + -4i Solving 4 + 3i + -1im + 3l = 16 + -4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4i' to each side of the equation. 4 + 3i + -1im + 4i + 3l = 16 + -4i + 4i Reorder the terms: 4 + 3i + 4i + -1im + 3l = 16 + -4i + 4i Combine like terms: 3i + 4i = 7i 4 + 7i + -1im + 3l = 16 + -4i + 4i Combine like terms: -4i + 4i = 0 4 + 7i + -1im + 3l = 16 + 0 4 + 7i + -1im + 3l = 16 Add '-4' to each side of the equation. 4 + 7i + -1im + -4 + 3l = 16 + -4 Reorder the terms: 4 + -4 + 7i + -1im + 3l = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 7i + -1im + 3l = 16 + -4 7i + -1im + 3l = 16 + -4 Combine like terms: 16 + -4 = 12 7i + -1im + 3l = 12 Add '-3l' to each side of the equation. 7i + -1im + 3l + -3l = 12 + -3l Combine like terms: 3l + -3l = 0 7i + -1im + 0 = 12 + -3l 7i + -1im = 12 + -3l Reorder the terms: -12 + 7i + -1im + 3l = 12 + -3l + -12 + 3l Reorder the terms: -12 + 7i + -1im + 3l = 12 + -12 + -3l + 3l Combine like terms: 12 + -12 = 0 -12 + 7i + -1im + 3l = 0 + -3l + 3l -12 + 7i + -1im + 3l = -3l + 3l Combine like terms: -3l + 3l = 0 -12 + 7i + -1im + 3l = 0 The solution to this equation could not be determined.
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