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Simplifying (3z + 3) + (4z + 1) + (3z + 3) + (4z + 1) = 92 Reorder the terms: (3 + 3z) + (4z + 1) + (3z + 3) + (4z + 1) = 92 Remove parenthesis around (3 + 3z) 3 + 3z + (4z + 1) + (3z + 3) + (4z + 1) = 92 Reorder the terms: 3 + 3z + (1 + 4z) + (3z + 3) + (4z + 1) = 92 Remove parenthesis around (1 + 4z) 3 + 3z + 1 + 4z + (3z + 3) + (4z + 1) = 92 Reorder the terms: 3 + 3z + 1 + 4z + (3 + 3z) + (4z + 1) = 92 Remove parenthesis around (3 + 3z) 3 + 3z + 1 + 4z + 3 + 3z + (4z + 1) = 92 Reorder the terms: 3 + 3z + 1 + 4z + 3 + 3z + (1 + 4z) = 92 Remove parenthesis around (1 + 4z) 3 + 3z + 1 + 4z + 3 + 3z + 1 + 4z = 92 Reorder the terms: 3 + 1 + 3 + 1 + 3z + 4z + 3z + 4z = 92 Combine like terms: 3 + 1 = 4 4 + 3 + 1 + 3z + 4z + 3z + 4z = 92 Combine like terms: 4 + 3 = 7 7 + 1 + 3z + 4z + 3z + 4z = 92 Combine like terms: 7 + 1 = 8 8 + 3z + 4z + 3z + 4z = 92 Combine like terms: 3z + 4z = 7z 8 + 7z + 3z + 4z = 92 Combine like terms: 7z + 3z = 10z 8 + 10z + 4z = 92 Combine like terms: 10z + 4z = 14z 8 + 14z = 92 Solving 8 + 14z = 92 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 14z = 92 + -8 Combine like terms: 8 + -8 = 0 0 + 14z = 92 + -8 14z = 92 + -8 Combine like terms: 92 + -8 = 84 14z = 84 Divide each side by '14'. z = 6 Simplifying z = 6
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