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Simplifying 3z2 + (1 + -6i) + 2i = 0 Remove parenthesis around (1 + -6i) 3z2 + 1 + -6i + 2i = 0 Reorder the terms: 1 + -6i + 2i + 3z2 = 0 Combine like terms: -6i + 2i = -4i 1 + -4i + 3z2 = 0 Solving 1 + -4i + 3z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4i + -1 + 3z2 = 0 + -1 Reorder the terms: 1 + -1 + -4i + 3z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4i + 3z2 = 0 + -1 -4i + 3z2 = 0 + -1 Combine like terms: 0 + -1 = -1 -4i + 3z2 = -1 Add '-3z2' to each side of the equation. -4i + 3z2 + -3z2 = -1 + -3z2 Combine like terms: 3z2 + -3z2 = 0 -4i + 0 = -1 + -3z2 -4i = -1 + -3z2 Divide each side by '-4'. i = 0.25 + 0.75z2 Simplifying i = 0.25 + 0.75z2
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