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Simplifying (-3 + -3i) + -1(8 + 6i) + -1(6 + 4i) = 0 Remove parenthesis around (-3 + -3i) -3 + -3i + -1(8 + 6i) + -1(6 + 4i) = 0 -3 + -3i + (8 * -1 + 6i * -1) + -1(6 + 4i) = 0 -3 + -3i + (-8 + -6i) + -1(6 + 4i) = 0 -3 + -3i + -8 + -6i + (6 * -1 + 4i * -1) = 0 -3 + -3i + -8 + -6i + (-6 + -4i) = 0 Reorder the terms: -3 + -8 + -6 + -3i + -6i + -4i = 0 Combine like terms: -3 + -8 = -11 -11 + -6 + -3i + -6i + -4i = 0 Combine like terms: -11 + -6 = -17 -17 + -3i + -6i + -4i = 0 Combine like terms: -3i + -6i = -9i -17 + -9i + -4i = 0 Combine like terms: -9i + -4i = -13i -17 + -13i = 0 Solving -17 + -13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -13i = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -13i = 0 + 17 -13i = 0 + 17 Combine like terms: 0 + 17 = 17 -13i = 17 Divide each side by '-13'. i = -1.307692308 Simplifying i = -1.307692308
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