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Simplifying 2(-6 + 9i) + -6(-6i + 9i) + 9 = 0 (-6 * 2 + 9i * 2) + -6(-6i + 9i) + 9 = 0 (-12 + 18i) + -6(-6i + 9i) + 9 = 0 Combine like terms: -6i + 9i = 3i -12 + 18i + -6(3i) + 9 = 0 Remove parenthesis around (3i) -12 + 18i + -6 * 3i + 9 = 0 Multiply -6 * 3 -12 + 18i + -18i + 9 = 0 Reorder the terms: -12 + 9 + 18i + -18i = 0 Combine like terms: -12 + 9 = -3 -3 + 18i + -18i = 0 Combine like terms: 18i + -18i = 0 -3 + 0 = 0 -3 = 0 Solving -3 = 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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