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