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Simplifying (7z + 4) + (6z + 8) = 38 Reorder the terms: (4 + 7z) + (6z + 8) = 38 Remove parenthesis around (4 + 7z) 4 + 7z + (6z + 8) = 38 Reorder the terms: 4 + 7z + (8 + 6z) = 38 Remove parenthesis around (8 + 6z) 4 + 7z + 8 + 6z = 38 Reorder the terms: 4 + 8 + 7z + 6z = 38 Combine like terms: 4 + 8 = 12 12 + 7z + 6z = 38 Combine like terms: 7z + 6z = 13z 12 + 13z = 38 Solving 12 + 13z = 38 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 13z = 38 + -12 Combine like terms: 12 + -12 = 0 0 + 13z = 38 + -12 13z = 38 + -12 Combine like terms: 38 + -12 = 26 13z = 26 Divide each side by '13'. z = 2 Simplifying z = 2
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