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Simplifying 6z + 37 = 7z + 33 Reorder the terms: 37 + 6z = 7z + 33 Reorder the terms: 37 + 6z = 33 + 7z Solving 37 + 6z = 33 + 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 + 6z + -7z = 33 + 7z + -7z Combine like terms: 6z + -7z = -1z 37 + -1z = 33 + 7z + -7z Combine like terms: 7z + -7z = 0 37 + -1z = 33 + 0 37 + -1z = 33 Add '-37' to each side of the equation. 37 + -37 + -1z = 33 + -37 Combine like terms: 37 + -37 = 0 0 + -1z = 33 + -37 -1z = 33 + -37 Combine like terms: 33 + -37 = -4 -1z = -4 Divide each side by '-1'. z = 4 Simplifying z = 4
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