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Simplifying 31 = 6z + -8z + 3 Reorder the terms: 31 = 3 + 6z + -8z Combine like terms: 6z + -8z = -2z 31 = 3 + -2z Solving 31 = 3 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 31 + 2z = 3 + -2z + 2z Combine like terms: -2z + 2z = 0 31 + 2z = 3 + 0 31 + 2z = 3 Add '-31' to each side of the equation. 31 + -31 + 2z = 3 + -31 Combine like terms: 31 + -31 = 0 0 + 2z = 3 + -31 2z = 3 + -31 Combine like terms: 3 + -31 = -28 2z = -28 Divide each side by '2'. z = -14 Simplifying z = -14
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