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Simplifying -5z + 11 = 53 + -12z Reorder the terms: 11 + -5z = 53 + -12z Solving 11 + -5z = 53 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 11 + -5z + 12z = 53 + -12z + 12z Combine like terms: -5z + 12z = 7z 11 + 7z = 53 + -12z + 12z Combine like terms: -12z + 12z = 0 11 + 7z = 53 + 0 11 + 7z = 53 Add '-11' to each side of the equation. 11 + -11 + 7z = 53 + -11 Combine like terms: 11 + -11 = 0 0 + 7z = 53 + -11 7z = 53 + -11 Combine like terms: 53 + -11 = 42 7z = 42 Divide each side by '7'. z = 6 Simplifying z = 6
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