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