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Simplifying (3z + 1) + (2z + 1) = 48 Reorder the terms: (1 + 3z) + (2z + 1) = 48 Remove parenthesis around (1 + 3z) 1 + 3z + (2z + 1) = 48 Reorder the terms: 1 + 3z + (1 + 2z) = 48 Remove parenthesis around (1 + 2z) 1 + 3z + 1 + 2z = 48 Reorder the terms: 1 + 1 + 3z + 2z = 48 Combine like terms: 1 + 1 = 2 2 + 3z + 2z = 48 Combine like terms: 3z + 2z = 5z 2 + 5z = 48 Solving 2 + 5z = 48 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5z = 48 + -2 Combine like terms: 2 + -2 = 0 0 + 5z = 48 + -2 5z = 48 + -2 Combine like terms: 48 + -2 = 46 5z = 46 Divide each side by '5'. z = 9.2 Simplifying z = 9.2
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