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Simplifying 7z + 1 + -1z = 10 + z + 8 Reorder the terms: 1 + 7z + -1z = 10 + z + 8 Combine like terms: 7z + -1z = 6z 1 + 6z = 10 + z + 8 Reorder the terms: 1 + 6z = 10 + 8 + z Combine like terms: 10 + 8 = 18 1 + 6z = 18 + z Solving 1 + 6z = 18 + 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 + 6z + -1z = 18 + z + -1z Combine like terms: 6z + -1z = 5z 1 + 5z = 18 + z + -1z Combine like terms: z + -1z = 0 1 + 5z = 18 + 0 1 + 5z = 18 Add '-1' to each side of the equation. 1 + -1 + 5z = 18 + -1 Combine like terms: 1 + -1 = 0 0 + 5z = 18 + -1 5z = 18 + -1 Combine like terms: 18 + -1 = 17 5z = 17 Divide each side by '5'. z = 3.4 Simplifying z = 3.4
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