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Simplifying (2z + 2) + (3z) = 47 Reorder the terms: (2 + 2z) + (3z) = 47 Remove parenthesis around (2 + 2z) 2 + 2z + (3z) = 47 Combine like terms: 2z + (3z) = 5z 2 + 5z = 47 Solving 2 + 5z = 47 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 = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 5z = 47 + -2 5z = 47 + -2 Combine like terms: 47 + -2 = 45 5z = 45 Divide each side by '5'. z = 9 Simplifying z = 9
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