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Simplifying 2z + -31 = -9z + 23 Reorder the terms: -31 + 2z = -9z + 23 Reorder the terms: -31 + 2z = 23 + -9z Solving -31 + 2z = 23 + -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 = 23 + -9z + 9z Combine like terms: 2z + 9z = 11z -31 + 11z = 23 + -9z + 9z Combine like terms: -9z + 9z = 0 -31 + 11z = 23 + 0 -31 + 11z = 23 Add '31' to each side of the equation. -31 + 31 + 11z = 23 + 31 Combine like terms: -31 + 31 = 0 0 + 11z = 23 + 31 11z = 23 + 31 Combine like terms: 23 + 31 = 54 11z = 54 Divide each side by '11'. z = 4.909090909 Simplifying z = 4.909090909
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