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Simplifying -31 + 27 = 24 + 9z Combine like terms: -31 + 27 = -4 -4 = 24 + 9z Solving -4 = 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. -4 + -9z = 24 + 9z + -9z Combine like terms: 9z + -9z = 0 -4 + -9z = 24 + 0 -4 + -9z = 24 Add '4' to each side of the equation. -4 + 4 + -9z = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -9z = 24 + 4 -9z = 24 + 4 Combine like terms: 24 + 4 = 28 -9z = 28 Divide each side by '-9'. z = -3.111111111 Simplifying z = -3.111111111
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