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Simplifying 10z + 20 = 7z + 5 Reorder the terms: 20 + 10z = 7z + 5 Reorder the terms: 20 + 10z = 5 + 7z Solving 20 + 10z = 5 + 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. 20 + 10z + -7z = 5 + 7z + -7z Combine like terms: 10z + -7z = 3z 20 + 3z = 5 + 7z + -7z Combine like terms: 7z + -7z = 0 20 + 3z = 5 + 0 20 + 3z = 5 Add '-20' to each side of the equation. 20 + -20 + 3z = 5 + -20 Combine like terms: 20 + -20 = 0 0 + 3z = 5 + -20 3z = 5 + -20 Combine like terms: 5 + -20 = -15 3z = -15 Divide each side by '3'. z = -5 Simplifying z = -5
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