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Simplifying 7z + 1 + -5z = 8 + z + -1 Reorder the terms: 1 + 7z + -5z = 8 + z + -1 Combine like terms: 7z + -5z = 2z 1 + 2z = 8 + z + -1 Reorder the terms: 1 + 2z = 8 + -1 + z Combine like terms: 8 + -1 = 7 1 + 2z = 7 + z Solving 1 + 2z = 7 + 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 = 7 + z + -1z Combine like terms: 2z + -1z = 1z 1 + 1z = 7 + z + -1z Combine like terms: z + -1z = 0 1 + 1z = 7 + 0 1 + 1z = 7 Add '-1' to each side of the equation. 1 + -1 + 1z = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 7 + -1 1z = 7 + -1 Combine like terms: 7 + -1 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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