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Simplifying 3 + 10i = 4i + -18 Reorder the terms: 3 + 10i = -18 + 4i Solving 3 + 10i = -18 + 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. 3 + 10i + -4i = -18 + 4i + -4i Combine like terms: 10i + -4i = 6i 3 + 6i = -18 + 4i + -4i Combine like terms: 4i + -4i = 0 3 + 6i = -18 + 0 3 + 6i = -18 Add '-3' to each side of the equation. 3 + -3 + 6i = -18 + -3 Combine like terms: 3 + -3 = 0 0 + 6i = -18 + -3 6i = -18 + -3 Combine like terms: -18 + -3 = -21 6i = -21 Divide each side by '6'. i = -3.5 Simplifying i = -3.5
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