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Simplifying 2z + -31 = -9z + z + 24 Reorder the terms: -31 + 2z = -9z + z + 24 Reorder the terms: -31 + 2z = 24 + -9z + z Combine like terms: -9z + z = -8z -31 + 2z = 24 + -8z Solving -31 + 2z = 24 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -31 + 2z + 8z = 24 + -8z + 8z Combine like terms: 2z + 8z = 10z -31 + 10z = 24 + -8z + 8z Combine like terms: -8z + 8z = 0 -31 + 10z = 24 + 0 -31 + 10z = 24 Add '31' to each side of the equation. -31 + 31 + 10z = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 10z = 24 + 31 10z = 24 + 31 Combine like terms: 24 + 31 = 55 10z = 55 Divide each side by '10'. z = 5.5 Simplifying z = 5.5
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