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Simplifying 2z + 4 = 7z + -33 Reorder the terms: 4 + 2z = 7z + -33 Reorder the terms: 4 + 2z = -33 + 7z Solving 4 + 2z = -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. 4 + 2z + -7z = -33 + 7z + -7z Combine like terms: 2z + -7z = -5z 4 + -5z = -33 + 7z + -7z Combine like terms: 7z + -7z = 0 4 + -5z = -33 + 0 4 + -5z = -33 Add '-4' to each side of the equation. 4 + -4 + -5z = -33 + -4 Combine like terms: 4 + -4 = 0 0 + -5z = -33 + -4 -5z = -33 + -4 Combine like terms: -33 + -4 = -37 -5z = -37 Divide each side by '-5'. z = 7.4 Simplifying z = 7.4
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