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Simplifying 8z + 37 = 7z + 38 Reorder the terms: 37 + 8z = 7z + 38 Reorder the terms: 37 + 8z = 38 + 7z Solving 37 + 8z = 38 + 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. 37 + 8z + -7z = 38 + 7z + -7z Combine like terms: 8z + -7z = 1z 37 + 1z = 38 + 7z + -7z Combine like terms: 7z + -7z = 0 37 + 1z = 38 + 0 37 + 1z = 38 Add '-37' to each side of the equation. 37 + -37 + 1z = 38 + -37 Combine like terms: 37 + -37 = 0 0 + 1z = 38 + -37 1z = 38 + -37 Combine like terms: 38 + -37 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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