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