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Simplifying 7z + 1 + -5z = 8 + z + 5 Reorder the terms: 1 + 7z + -5z = 8 + z + 5 Combine like terms: 7z + -5z = 2z 1 + 2z = 8 + z + 5 Reorder the terms: 1 + 2z = 8 + 5 + z Combine like terms: 8 + 5 = 13 1 + 2z = 13 + z Solving 1 + 2z = 13 + 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 = 13 + z + -1z Combine like terms: 2z + -1z = 1z 1 + 1z = 13 + z + -1z Combine like terms: z + -1z = 0 1 + 1z = 13 + 0 1 + 1z = 13 Add '-1' to each side of the equation. 1 + -1 + 1z = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 13 + -1 1z = 13 + -1 Combine like terms: 13 + -1 = 12 1z = 12 Divide each side by '1'. z = 12 Simplifying z = 12
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