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