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Simplifying 30 + -9z = 7z + 21 Reorder the terms: 30 + -9z = 21 + 7z Solving 30 + -9z = 21 + 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. 30 + -9z + -7z = 21 + 7z + -7z Combine like terms: -9z + -7z = -16z 30 + -16z = 21 + 7z + -7z Combine like terms: 7z + -7z = 0 30 + -16z = 21 + 0 30 + -16z = 21 Add '-30' to each side of the equation. 30 + -30 + -16z = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -16z = 21 + -30 -16z = 21 + -30 Combine like terms: 21 + -30 = -9 -16z = -9 Divide each side by '-16'. z = 0.5625 Simplifying z = 0.5625
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