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Simplifying 7z + 4 + -5z = 53 + -5z Reorder the terms: 4 + 7z + -5z = 53 + -5z Combine like terms: 7z + -5z = 2z 4 + 2z = 53 + -5z Solving 4 + 2z = 53 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 4 + 2z + 5z = 53 + -5z + 5z Combine like terms: 2z + 5z = 7z 4 + 7z = 53 + -5z + 5z Combine like terms: -5z + 5z = 0 4 + 7z = 53 + 0 4 + 7z = 53 Add '-4' to each side of the equation. 4 + -4 + 7z = 53 + -4 Combine like terms: 4 + -4 = 0 0 + 7z = 53 + -4 7z = 53 + -4 Combine like terms: 53 + -4 = 49 7z = 49 Divide each side by '7'. z = 7 Simplifying z = 7
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