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Simplifying 32 + -80i + -80 + 40i + 10 + -1i = 0 Reorder the terms: 32 + -80 + 10 + -80i + 40i + -1i = 0 Combine like terms: 32 + -80 = -48 -48 + 10 + -80i + 40i + -1i = 0 Combine like terms: -48 + 10 = -38 -38 + -80i + 40i + -1i = 0 Combine like terms: -80i + 40i = -40i -38 + -40i + -1i = 0 Combine like terms: -40i + -1i = -41i -38 + -41i = 0 Solving -38 + -41i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -41i = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -41i = 0 + 38 -41i = 0 + 38 Combine like terms: 0 + 38 = 38 -41i = 38 Divide each side by '-41'. i = -0.9268292683 Simplifying i = -0.9268292683
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