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Simplifying 2z + 9 = -7z Reorder the terms: 9 + 2z = -7z Solving 9 + 2z = -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 9 + 2z + 7z = -7z + 7z Combine like terms: 2z + 7z = 9z 9 + 9z = -7z + 7z Combine like terms: -7z + 7z = 0 9 + 9z = 0 Add '-9' to each side of the equation. 9 + -9 + 9z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9z = 0 + -9 9z = 0 + -9 Combine like terms: 0 + -9 = -9 9z = -9 Divide each side by '9'. z = -1 Simplifying z = -1
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