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Simplifying 3 + 12z + -1 = 9z + 37 + -4z Reorder the terms: 3 + -1 + 12z = 9z + 37 + -4z Combine like terms: 3 + -1 = 2 2 + 12z = 9z + 37 + -4z Reorder the terms: 2 + 12z = 37 + 9z + -4z Combine like terms: 9z + -4z = 5z 2 + 12z = 37 + 5z Solving 2 + 12z = 37 + 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. 2 + 12z + -5z = 37 + 5z + -5z Combine like terms: 12z + -5z = 7z 2 + 7z = 37 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + 7z = 37 + 0 2 + 7z = 37 Add '-2' to each side of the equation. 2 + -2 + 7z = 37 + -2 Combine like terms: 2 + -2 = 0 0 + 7z = 37 + -2 7z = 37 + -2 Combine like terms: 37 + -2 = 35 7z = 35 Divide each side by '7'. z = 5 Simplifying z = 5
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