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Simplifying 10z + -30 = 7z + 30 Reorder the terms: -30 + 10z = 7z + 30 Reorder the terms: -30 + 10z = 30 + 7z Solving -30 + 10z = 30 + 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 + 10z + -7z = 30 + 7z + -7z Combine like terms: 10z + -7z = 3z -30 + 3z = 30 + 7z + -7z Combine like terms: 7z + -7z = 0 -30 + 3z = 30 + 0 -30 + 3z = 30 Add '30' to each side of the equation. -30 + 30 + 3z = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 3z = 30 + 30 3z = 30 + 30 Combine like terms: 30 + 30 = 60 3z = 60 Divide each side by '3'. z = 20 Simplifying z = 20
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