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Simplifying 5 + 7z + -1 = 8z + 6 + -3z Reorder the terms: 5 + -1 + 7z = 8z + 6 + -3z Combine like terms: 5 + -1 = 4 4 + 7z = 8z + 6 + -3z Reorder the terms: 4 + 7z = 6 + 8z + -3z Combine like terms: 8z + -3z = 5z 4 + 7z = 6 + 5z Solving 4 + 7z = 6 + 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. 4 + 7z + -5z = 6 + 5z + -5z Combine like terms: 7z + -5z = 2z 4 + 2z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + 2z = 6 + 0 4 + 2z = 6 Add '-4' to each side of the equation. 4 + -4 + 2z = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 2z = 6 + -4 2z = 6 + -4 Combine like terms: 6 + -4 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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