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Simplifying 2z + -1 = z + 8 + -2z Reorder the terms: -1 + 2z = z + 8 + -2z Reorder the terms: -1 + 2z = 8 + z + -2z Combine like terms: z + -2z = -1z -1 + 2z = 8 + -1z Solving -1 + 2z = 8 + -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 + 2z + z = 8 + -1z + z Combine like terms: 2z + z = 3z -1 + 3z = 8 + -1z + z Combine like terms: -1z + z = 0 -1 + 3z = 8 + 0 -1 + 3z = 8 Add '1' to each side of the equation. -1 + 1 + 3z = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3z = 8 + 1 3z = 8 + 1 Combine like terms: 8 + 1 = 9 3z = 9 Divide each side by '3'. z = 3 Simplifying z = 3
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