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Simplifying 6z + -12 + z + 8 = 31 Reorder the terms: -12 + 8 + 6z + z = 31 Combine like terms: -12 + 8 = -4 -4 + 6z + z = 31 Combine like terms: 6z + z = 7z -4 + 7z = 31 Solving -4 + 7z = 31 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7z = 31 + 4 Combine like terms: -4 + 4 = 0 0 + 7z = 31 + 4 7z = 31 + 4 Combine like terms: 31 + 4 = 35 7z = 35 Divide each side by '7'. z = 5 Simplifying z = 5
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