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Simplifying 5i + 2 = 4i + 802 Reorder the terms: 2 + 5i = 4i + 802 Reorder the terms: 2 + 5i = 802 + 4i Solving 2 + 5i = 802 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 2 + 5i + -4i = 802 + 4i + -4i Combine like terms: 5i + -4i = 1i 2 + 1i = 802 + 4i + -4i Combine like terms: 4i + -4i = 0 2 + 1i = 802 + 0 2 + 1i = 802 Add '-2' to each side of the equation. 2 + -2 + 1i = 802 + -2 Combine like terms: 2 + -2 = 0 0 + 1i = 802 + -2 1i = 802 + -2 Combine like terms: 802 + -2 = 800 1i = 800 Divide each side by '1'. i = 800 Simplifying i = 800
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