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Simplifying 5 + 7z = 10z + 20 Reorder the terms: 5 + 7z = 20 + 10z Solving 5 + 7z = 20 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 5 + 7z + -10z = 20 + 10z + -10z Combine like terms: 7z + -10z = -3z 5 + -3z = 20 + 10z + -10z Combine like terms: 10z + -10z = 0 5 + -3z = 20 + 0 5 + -3z = 20 Add '-5' to each side of the equation. 5 + -5 + -3z = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -3z = 20 + -5 -3z = 20 + -5 Combine like terms: 20 + -5 = 15 -3z = 15 Divide each side by '-3'. z = -5 Simplifying z = -5
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