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Simplifying (14 + 5i) + -1(2 + -3i) + (4 + -8i) = 0 Remove parenthesis around (14 + 5i) 14 + 5i + -1(2 + -3i) + (4 + -8i) = 0 14 + 5i + (2 * -1 + -3i * -1) + (4 + -8i) = 0 14 + 5i + (-2 + 3i) + (4 + -8i) = 0 Remove parenthesis around (4 + -8i) 14 + 5i + -2 + 3i + 4 + -8i = 0 Reorder the terms: 14 + -2 + 4 + 5i + 3i + -8i = 0 Combine like terms: 14 + -2 = 12 12 + 4 + 5i + 3i + -8i = 0 Combine like terms: 12 + 4 = 16 16 + 5i + 3i + -8i = 0 Combine like terms: 5i + 3i = 8i 16 + 8i + -8i = 0 Combine like terms: 8i + -8i = 0 16 + 0 = 0 16 = 0 Solving 16 = 0 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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