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Simplifying 3 + 3i + -1(8 + 2i) + -7 = 0 3 + 3i + (8 * -1 + 2i * -1) + -7 = 0 3 + 3i + (-8 + -2i) + -7 = 0 Reorder the terms: 3 + -8 + -7 + 3i + -2i = 0 Combine like terms: 3 + -8 = -5 -5 + -7 + 3i + -2i = 0 Combine like terms: -5 + -7 = -12 -12 + 3i + -2i = 0 Combine like terms: 3i + -2i = 1i -12 + 1i = 0 Solving -12 + 1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1i = 0 + 12 1i = 0 + 12 Combine like terms: 0 + 12 = 12 1i = 12 Divide each side by '1'. i = 12 Simplifying i = 12
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