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Simplifying z + -2(1 + -1z) + -1z = 0 z + (1 * -2 + -1z * -2) + -1z = 0 z + (-2 + 2z) + -1z = 0 Reorder the terms: -2 + z + 2z + -1z = 0 Combine like terms: z + 2z = 3z -2 + 3z + -1z = 0 Combine like terms: 3z + -1z = 2z -2 + 2z = 0 Solving -2 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2z = 0 + 2 2z = 0 + 2 Combine like terms: 0 + 2 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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