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Simplifying (6 + 3i) + -1(5 + 4i) + -1(11 + -1i) = 0 Remove parenthesis around (6 + 3i) 6 + 3i + -1(5 + 4i) + -1(11 + -1i) = 0 6 + 3i + (5 * -1 + 4i * -1) + -1(11 + -1i) = 0 6 + 3i + (-5 + -4i) + -1(11 + -1i) = 0 6 + 3i + -5 + -4i + (11 * -1 + -1i * -1) = 0 6 + 3i + -5 + -4i + (-11 + 1i) = 0 Reorder the terms: 6 + -5 + -11 + 3i + -4i + 1i = 0 Combine like terms: 6 + -5 = 1 1 + -11 + 3i + -4i + 1i = 0 Combine like terms: 1 + -11 = -10 -10 + 3i + -4i + 1i = 0 Combine like terms: 3i + -4i = -1i -10 + -1i + 1i = 0 Combine like terms: -1i + 1i = 0 -10 + 0 = 0 -10 = 0 Solving -10 = 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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