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Simplifying 8 + 5z + -5 = 7z + 19 + -4z Reorder the terms: 8 + -5 + 5z = 7z + 19 + -4z Combine like terms: 8 + -5 = 3 3 + 5z = 7z + 19 + -4z Reorder the terms: 3 + 5z = 19 + 7z + -4z Combine like terms: 7z + -4z = 3z 3 + 5z = 19 + 3z Solving 3 + 5z = 19 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 3 + 5z + -3z = 19 + 3z + -3z Combine like terms: 5z + -3z = 2z 3 + 2z = 19 + 3z + -3z Combine like terms: 3z + -3z = 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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