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Simplifying 7z + -1 = 4z + 8 Reorder the terms: -1 + 7z = 4z + 8 Reorder the terms: -1 + 7z = 8 + 4z Solving -1 + 7z = 8 + 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. -1 + 7z + -4z = 8 + 4z + -4z Combine like terms: 7z + -4z = 3z -1 + 3z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 -1 + 3z = 8 + 0 -1 + 3z = 8 Add '1' to each side of the equation. -1 + 1 + 3z = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3z = 8 + 1 3z = 8 + 1 Combine like terms: 8 + 1 = 9 3z = 9 Divide each side by '3'. z = 3 Simplifying z = 3
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