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Simplifying 2z + -31 = -9z + -9z + 24 Reorder the terms: -31 + 2z = -9z + -9z + 24 Reorder the terms: -31 + 2z = 24 + -9z + -9z Combine like terms: -9z + -9z = -18z -31 + 2z = 24 + -18z Solving -31 + 2z = 24 + -18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18z' to each side of the equation. -31 + 2z + 18z = 24 + -18z + 18z Combine like terms: 2z + 18z = 20z -31 + 20z = 24 + -18z + 18z Combine like terms: -18z + 18z = 0 -31 + 20z = 24 + 0 -31 + 20z = 24 Add '31' to each side of the equation. -31 + 31 + 20z = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 20z = 24 + 31 20z = 24 + 31 Combine like terms: 24 + 31 = 55 20z = 55 Divide each side by '20'. z = 2.75 Simplifying z = 2.75
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