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Simplifying 4 + 7z = 30z + 5 + -1 Reorder the terms: 4 + 7z = 5 + -1 + 30z Combine like terms: 5 + -1 = 4 4 + 7z = 4 + 30z Add '-4' to each side of the equation. 4 + -4 + 7z = 4 + -4 + 30z Combine like terms: 4 + -4 = 0 0 + 7z = 4 + -4 + 30z 7z = 4 + -4 + 30z Combine like terms: 4 + -4 = 0 7z = 0 + 30z 7z = 30z Solving 7z = 30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30z' to each side of the equation. 7z + -30z = 30z + -30z Combine like terms: 7z + -30z = -23z -23z = 30z + -30z Combine like terms: 30z + -30z = 0 -23z = 0 Divide each side by '-23'. z = 0 Simplifying z = 0
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