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Simplifying -1z + -11 + 7z = 31 Reorder the terms: -11 + -1z + 7z = 31 Combine like terms: -1z + 7z = 6z -11 + 6z = 31 Solving -11 + 6z = 31 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 6z = 31 + 11 Combine like terms: -11 + 11 = 0 0 + 6z = 31 + 11 6z = 31 + 11 Combine like terms: 31 + 11 = 42 6z = 42 Divide each side by '6'. z = 7 Simplifying z = 7
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