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Simplifying 6z + -5 + -5z + 9 + 7z = 4z + 1024 Reorder the terms: -5 + 9 + 6z + -5z + 7z = 4z + 1024 Combine like terms: -5 + 9 = 4 4 + 6z + -5z + 7z = 4z + 1024 Combine like terms: 6z + -5z = 1z 4 + 1z + 7z = 4z + 1024 Combine like terms: 1z + 7z = 8z 4 + 8z = 4z + 1024 Reorder the terms: 4 + 8z = 1024 + 4z Solving 4 + 8z = 1024 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 4 + 8z + -4z = 1024 + 4z + -4z Combine like terms: 8z + -4z = 4z 4 + 4z = 1024 + 4z + -4z Combine like terms: 4z + -4z = 0 4 + 4z = 1024 + 0 4 + 4z = 1024 Add '-4' to each side of the equation. 4 + -4 + 4z = 1024 + -4 Combine like terms: 4 + -4 = 0 0 + 4z = 1024 + -4 4z = 1024 + -4 Combine like terms: 1024 + -4 = 1020 4z = 1020 Divide each side by '4'. z = 255 Simplifying z = 255
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