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Simplifying 7z + 10 = 5z + 19 Reorder the terms: 10 + 7z = 5z + 19 Reorder the terms: 10 + 7z = 19 + 5z Solving 10 + 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. 10 + 7z + -5z = 19 + 5z + -5z Combine like terms: 7z + -5z = 2z 10 + 2z = 19 + 5z + -5z Combine like terms: 5z + -5z = 0 10 + 2z = 19 + 0 10 + 2z = 19 Add '-10' to each side of the equation. 10 + -10 + 2z = 19 + -10 Combine like terms: 10 + -10 = 0 0 + 2z = 19 + -10 2z = 19 + -10 Combine like terms: 19 + -10 = 9 2z = 9 Divide each side by '2'. z = 4.5 Simplifying z = 4.5
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