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Simplifying (1 + -4i) + -8 + -1(4i) = 0 Remove parenthesis around (1 + -4i) 1 + -4i + -8 + -1(4i) = 0 Remove parenthesis around (4i) 1 + -4i + -8 + -1 * 4i = 0 Multiply -1 * 4 1 + -4i + -8 + -4i = 0 Reorder the terms: 1 + -8 + -4i + -4i = 0 Combine like terms: 1 + -8 = -7 -7 + -4i + -4i = 0 Combine like terms: -4i + -4i = -8i -7 + -8i = 0 Solving -7 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8i = 0 + 7 -8i = 0 + 7 Combine like terms: 0 + 7 = 7 -8i = 7 Divide each side by '-8'. i = -0.875 Simplifying i = -0.875
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