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Simplifying 7z + -4 = 5z + 8 Reorder the terms: -4 + 7z = 5z + 8 Reorder the terms: -4 + 7z = 8 + 5z Solving -4 + 7z = 8 + 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 = 8 + 5z + -5z Combine like terms: 7z + -5z = 2z -4 + 2z = 8 + 5z + -5z Combine like terms: 5z + -5z = 0 -4 + 2z = 8 + 0 -4 + 2z = 8 Add '4' to each side of the equation. -4 + 4 + 2z = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 2z = 8 + 4 2z = 8 + 4 Combine like terms: 8 + 4 = 12 2z = 12 Divide each side by '2'. z = 6 Simplifying z = 6
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