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Simplifying 12i + -1(2i + 3) = 65 Reorder the terms: 12i + -1(3 + 2i) = 65 12i + (3 * -1 + 2i * -1) = 65 12i + (-3 + -2i) = 65 Reorder the terms: -3 + 12i + -2i = 65 Combine like terms: 12i + -2i = 10i -3 + 10i = 65 Solving -3 + 10i = 65 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 10i = 65 + 3 Combine like terms: -3 + 3 = 0 0 + 10i = 65 + 3 10i = 65 + 3 Combine like terms: 65 + 3 = 68 10i = 68 Divide each side by '10'. i = 6.8 Simplifying i = 6.8
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