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Simplifying 2z + -3i + -1 = 0 Reorder the terms: -1 + -3i + 2z = 0 Solving -1 + -3i + 2z = 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 + -3i + 1 + 2z = 0 + 1 Reorder the terms: -1 + 1 + -3i + 2z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3i + 2z = 0 + 1 -3i + 2z = 0 + 1 Combine like terms: 0 + 1 = 1 -3i + 2z = 1 Add '-2z' to each side of the equation. -3i + 2z + -2z = 1 + -2z Combine like terms: 2z + -2z = 0 -3i + 0 = 1 + -2z -3i = 1 + -2z Divide each side by '-3'. i = -0.3333333333 + 0.6666666667z Simplifying i = -0.3333333333 + 0.6666666667z
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