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Simplifying 3 + 13z + -1 = 8z + 37 + -2z Reorder the terms: 3 + -1 + 13z = 8z + 37 + -2z Combine like terms: 3 + -1 = 2 2 + 13z = 8z + 37 + -2z Reorder the terms: 2 + 13z = 37 + 8z + -2z Combine like terms: 8z + -2z = 6z 2 + 13z = 37 + 6z Solving 2 + 13z = 37 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 2 + 13z + -6z = 37 + 6z + -6z Combine like terms: 13z + -6z = 7z 2 + 7z = 37 + 6z + -6z Combine like terms: 6z + -6z = 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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