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Simplifying 2z + 3z + 5 = 45 Reorder the terms: 5 + 2z + 3z = 45 Combine like terms: 2z + 3z = 5z 5 + 5z = 45 Solving 5 + 5z = 45 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5z = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 5z = 45 + -5 5z = 45 + -5 Combine like terms: 45 + -5 = 40 5z = 40 Divide each side by '5'. z = 8 Simplifying z = 8
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