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Simplifying 6 + -1(-5 + 4i) + -1(13 + -1i) = 0 6 + (-5 * -1 + 4i * -1) + -1(13 + -1i) = 0 6 + (5 + -4i) + -1(13 + -1i) = 0 6 + 5 + -4i + (13 * -1 + -1i * -1) = 0 6 + 5 + -4i + (-13 + 1i) = 0 Reorder the terms: 6 + 5 + -13 + -4i + 1i = 0 Combine like terms: 6 + 5 = 11 11 + -13 + -4i + 1i = 0 Combine like terms: 11 + -13 = -2 -2 + -4i + 1i = 0 Combine like terms: -4i + 1i = -3i -2 + -3i = 0 Solving -2 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3i = 0 + 2 -3i = 0 + 2 Combine like terms: 0 + 2 = 2 -3i = 2 Divide each side by '-3'. i = -0.6666666667 Simplifying i = -0.6666666667
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