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Simplifying -2 + -5 + -1(1 + 8i) = 0 -2 + -5 + (1 * -1 + 8i * -1) = 0 -2 + -5 + (-1 + -8i) = 0 Combine like terms: -2 + -5 = -7 -7 + -1 + -8i = 0 Combine like terms: -7 + -1 = -8 -8 + -8i = 0 Solving -8 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -8i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8i = 0 + 8 -8i = 0 + 8 Combine like terms: 0 + 8 = 8 -8i = 8 Divide each side by '-8'. i = -1 Simplifying i = -1
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