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Simplifying 2z + -31 = -4z + 24 Reorder the terms: -31 + 2z = -4z + 24 Reorder the terms: -31 + 2z = 24 + -4z Solving -31 + 2z = 24 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -31 + 2z + 4z = 24 + -4z + 4z Combine like terms: 2z + 4z = 6z -31 + 6z = 24 + -4z + 4z Combine like terms: -4z + 4z = 0 -31 + 6z = 24 + 0 -31 + 6z = 24 Add '31' to each side of the equation. -31 + 31 + 6z = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 6z = 24 + 31 6z = 24 + 31 Combine like terms: 24 + 31 = 55 6z = 55 Divide each side by '6'. z = 9.166666667 Simplifying z = 9.166666667
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