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Simplifying (-1) + -1(8i) + -1(4) + -1i = 0 -1 + -1(8i) + -1(4) + -1i = 0 Remove parenthesis around (8i) -1 + -1 * 8i + -1(4) + -1i = 0 Multiply -1 * 8 -1 + -8i + -1(4) + -1i = 0 Multiply -1 * 4 -1 + -8i + -4 + -1i = 0 Reorder the terms: -1 + -4 + -8i + -1i = 0 Combine like terms: -1 + -4 = -5 -5 + -8i + -1i = 0 Combine like terms: -8i + -1i = -9i -5 + -9i = 0 Solving -5 + -9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9i = 0 + 5 -9i = 0 + 5 Combine like terms: 0 + 5 = 5 -9i = 5 Divide each side by '-9'. i = -0.5555555556 Simplifying i = -0.5555555556
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