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Simplifying 9 + -2z = -7z + 49 Reorder the terms: 9 + -2z = 49 + -7z Solving 9 + -2z = 49 + -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 = 49 + -7z + 7z Combine like terms: -2z + 7z = 5z 9 + 5z = 49 + -7z + 7z Combine like terms: -7z + 7z = 0 9 + 5z = 49 + 0 9 + 5z = 49 Add '-9' to each side of the equation. 9 + -9 + 5z = 49 + -9 Combine like terms: 9 + -9 = 0 0 + 5z = 49 + -9 5z = 49 + -9 Combine like terms: 49 + -9 = 40 5z = 40 Divide each side by '5'. z = 8 Simplifying z = 8
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