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Simplifying 9(i + 2) = (i + -2) Reorder the terms: 9(2 + i) = (i + -2) (2 * 9 + i * 9) = (i + -2) (18 + 9i) = (i + -2) Reorder the terms: 18 + 9i = (-2 + i) Remove parenthesis around (-2 + i) 18 + 9i = -2 + i Solving 18 + 9i = -2 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 18 + 9i + -1i = -2 + i + -1i Combine like terms: 9i + -1i = 8i 18 + 8i = -2 + i + -1i Combine like terms: i + -1i = 0 18 + 8i = -2 + 0 18 + 8i = -2 Add '-18' to each side of the equation. 18 + -18 + 8i = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 8i = -2 + -18 8i = -2 + -18 Combine like terms: -2 + -18 = -20 8i = -20 Divide each side by '8'. i = -2.5 Simplifying i = -2.5
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