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Simplifying -2z + -1 = z + 2 Reorder the terms: -1 + -2z = z + 2 Reorder the terms: -1 + -2z = 2 + z Solving -1 + -2z = 2 + 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 + -2z + -1z = 2 + z + -1z Combine like terms: -2z + -1z = -3z -1 + -3z = 2 + z + -1z Combine like terms: z + -1z = 0 -1 + -3z = 2 + 0 -1 + -3z = 2 Add '1' to each side of the equation. -1 + 1 + -3z = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -3z = 2 + 1 -3z = 2 + 1 Combine like terms: 2 + 1 = 3 -3z = 3 Divide each side by '-3'. z = -1 Simplifying z = -1
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