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Simplifying 14480 = (0.25i + -8560) + 4867.50 Reorder the terms: 14480 = (-8560 + 0.25i) + 4867.50 Remove parenthesis around (-8560 + 0.25i) 14480 = -8560 + 0.25i + 4867.50 Reorder the terms: 14480 = -8560 + 4867.50 + 0.25i Combine like terms: -8560 + 4867.50 = -3692.5 14480 = -3692.5 + 0.25i Solving 14480 = -3692.5 + 0.25i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-0.25i' to each side of the equation. 14480 + -0.25i = -3692.5 + 0.25i + -0.25i Combine like terms: 0.25i + -0.25i = 0.00 14480 + -0.25i = -3692.5 + 0.00 14480 + -0.25i = -3692.5 Add '-14480' to each side of the equation. 14480 + -14480 + -0.25i = -3692.5 + -14480 Combine like terms: 14480 + -14480 = 0 0 + -0.25i = -3692.5 + -14480 -0.25i = -3692.5 + -14480 Combine like terms: -3692.5 + -14480 = -18172.5 -0.25i = -18172.5 Divide each side by '-0.25'. i = 72690 Simplifying i = 72690
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