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Simplifying 7z + 3 = 19 + 5z Reorder the terms: 3 + 7z = 19 + 5z Solving 3 + 7z = 19 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 3 + 7z + -5z = 19 + 5z + -5z Combine like terms: 7z + -5z = 2z 3 + 2z = 19 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + 2z = 19 + 0 3 + 2z = 19 Add '-3' to each side of the equation. 3 + -3 + 2z = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 2z = 19 + -3 2z = 19 + -3 Combine like terms: 19 + -3 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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