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Simplifying (2 + i) + -1(9i + 3) = 0 Remove parenthesis around (2 + i) 2 + i + -1(9i + 3) = 0 Reorder the terms: 2 + i + -1(3 + 9i) = 0 2 + i + (3 * -1 + 9i * -1) = 0 2 + i + (-3 + -9i) = 0 Reorder the terms: 2 + -3 + i + -9i = 0 Combine like terms: 2 + -3 = -1 -1 + i + -9i = 0 Combine like terms: i + -9i = -8i -1 + -8i = 0 Solving -1 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8i = 0 + 1 -8i = 0 + 1 Combine like terms: 0 + 1 = 1 -8i = 1 Divide each side by '-8'. i = -0.125 Simplifying i = -0.125
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