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Simplifying 32 + 5i = 16x + -40i Reorder the terms: 32 + 5i = -40i + 16x Solving 32 + 5i = -40i + 16x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '40i' to each side of the equation. 32 + 5i + 40i = -40i + 40i + 16x Combine like terms: 5i + 40i = 45i 32 + 45i = -40i + 40i + 16x Combine like terms: -40i + 40i = 0 32 + 45i = 0 + 16x 32 + 45i = 16x Add '-32' to each side of the equation. 32 + -32 + 45i = -32 + 16x Combine like terms: 32 + -32 = 0 0 + 45i = -32 + 16x 45i = -32 + 16x Divide each side by '45'. i = -0.7111111111 + 0.3555555556x Simplifying i = -0.7111111111 + 0.3555555556x
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