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Simplifying z + 2z + -7 + -6i = 0 Reorder the terms: -7 + -6i + z + 2z = 0 Combine like terms: z + 2z = 3z -7 + -6i + 3z = 0 Solving -7 + -6i + 3z = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -6i + 7 + 3z = 0 + 7 Reorder the terms: -7 + 7 + -6i + 3z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6i + 3z = 0 + 7 -6i + 3z = 0 + 7 Combine like terms: 0 + 7 = 7 -6i + 3z = 7 Add '-3z' to each side of the equation. -6i + 3z + -3z = 7 + -3z Combine like terms: 3z + -3z = 0 -6i + 0 = 7 + -3z -6i = 7 + -3z Divide each side by '-6'. i = -1.166666667 + 0.5z Simplifying i = -1.166666667 + 0.5z
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