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Simplifying 2z + 9 = 57 + -6z Reorder the terms: 9 + 2z = 57 + -6z Solving 9 + 2z = 57 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 9 + 2z + 6z = 57 + -6z + 6z Combine like terms: 2z + 6z = 8z 9 + 8z = 57 + -6z + 6z Combine like terms: -6z + 6z = 0 9 + 8z = 57 + 0 9 + 8z = 57 Add '-9' to each side of the equation. 9 + -9 + 8z = 57 + -9 Combine like terms: 9 + -9 = 0 0 + 8z = 57 + -9 8z = 57 + -9 Combine like terms: 57 + -9 = 48 8z = 48 Divide each side by '8'. z = 6 Simplifying z = 6
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