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Simplifying 2z + -31 = (-9z) + 24 Reorder the terms: -31 + 2z = (-9z) + 24 Reorder the terms: -31 + 2z = 24 + (-9z) Solving -31 + 2z = 24 + (-9z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(9z)' to each side of the equation. -31 + 2z + (9z) = 24 + (-9z) + (9z) Combine like terms: 2z + (9z) = 11z -31 + 11z = 24 + (-9z) + (9z) Combine like terms: (-9z) + (9z) = 0 -31 + 11z = 24 + 0 -31 + 11z = 24 Add '31' to each side of the equation. -31 + 31 + 11z = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 11z = 24 + 31 11z = 24 + 31 Combine like terms: 24 + 31 = 55 11z = 55 Divide each side by '11'. z = 5 Simplifying z = 5
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