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