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Simplifying 7z + 1 + -1z = 1 + 5z + 7 Reorder the terms: 1 + 7z + -1z = 1 + 5z + 7 Combine like terms: 7z + -1z = 6z 1 + 6z = 1 + 5z + 7 Reorder the terms: 1 + 6z = 1 + 7 + 5z Combine like terms: 1 + 7 = 8 1 + 6z = 8 + 5z Solving 1 + 6z = 8 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 1 + 6z + -5z = 8 + 5z + -5z Combine like terms: 6z + -5z = 1z 1 + 1z = 8 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + 1z = 8 + 0 1 + 1z = 8 Add '-1' to each side of the equation. 1 + -1 + 1z = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 8 + -1 1z = 8 + -1 Combine like terms: 8 + -1 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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