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Simplifying 20 = 4(2i + -1) Reorder the terms: 20 = 4(-1 + 2i) 20 = (-1 * 4 + 2i * 4) 20 = (-4 + 8i) Solving 20 = -4 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 20 + -8i = -4 + 8i + -8i Combine like terms: 8i + -8i = 0 20 + -8i = -4 + 0 20 + -8i = -4 Add '-20' to each side of the equation. 20 + -20 + -8i = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -8i = -4 + -20 -8i = -4 + -20 Combine like terms: -4 + -20 = -24 -8i = -24 Divide each side by '-8'. i = 3 Simplifying i = 3
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