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Simplifying z + -1 = 1 + 5i + -1z Reorder the terms: -1 + z = 1 + 5i + -1z Solving -1 + z = 1 + 5i + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -1 + z + z = 1 + 5i + -1z + z Combine like terms: z + z = 2z -1 + 2z = 1 + 5i + -1z + z Combine like terms: -1z + z = 0 -1 + 2z = 1 + 5i + 0 -1 + 2z = 1 + 5i Add '1' to each side of the equation. -1 + 1 + 2z = 1 + 1 + 5i Combine like terms: -1 + 1 = 0 0 + 2z = 1 + 1 + 5i 2z = 1 + 1 + 5i Combine like terms: 1 + 1 = 2 2z = 2 + 5i Divide each side by '2'. z = 1 + 2.5i Simplifying z = 1 + 2.5i
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