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Simplifying 10 + -1i + 3 = 20i + -176 Reorder the terms: 10 + 3 + -1i = 20i + -176 Combine like terms: 10 + 3 = 13 13 + -1i = 20i + -176 Reorder the terms: 13 + -1i = -176 + 20i Solving 13 + -1i = -176 + 20i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-20i' to each side of the equation. 13 + -1i + -20i = -176 + 20i + -20i Combine like terms: -1i + -20i = -21i 13 + -21i = -176 + 20i + -20i Combine like terms: 20i + -20i = 0 13 + -21i = -176 + 0 13 + -21i = -176 Add '-13' to each side of the equation. 13 + -13 + -21i = -176 + -13 Combine like terms: 13 + -13 = 0 0 + -21i = -176 + -13 -21i = -176 + -13 Combine like terms: -176 + -13 = -189 -21i = -189 Divide each side by '-21'. i = 9 Simplifying i = 9
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