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Simplifying 3z + 1 + -1z = 10 + z + -1 Reorder the terms: 1 + 3z + -1z = 10 + z + -1 Combine like terms: 3z + -1z = 2z 1 + 2z = 10 + z + -1 Reorder the terms: 1 + 2z = 10 + -1 + z Combine like terms: 10 + -1 = 9 1 + 2z = 9 + z Solving 1 + 2z = 9 + 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 = 9 + z + -1z Combine like terms: 2z + -1z = 1z 1 + 1z = 9 + z + -1z Combine like terms: z + -1z = 0 1 + 1z = 9 + 0 1 + 1z = 9 Add '-1' to each side of the equation. 1 + -1 + 1z = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 9 + -1 1z = 9 + -1 Combine like terms: 9 + -1 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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