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Simplifying 9z + 3 + -5z = 48 + -5z Reorder the terms: 3 + 9z + -5z = 48 + -5z Combine like terms: 9z + -5z = 4z 3 + 4z = 48 + -5z Solving 3 + 4z = 48 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 3 + 4z + 5z = 48 + -5z + 5z Combine like terms: 4z + 5z = 9z 3 + 9z = 48 + -5z + 5z Combine like terms: -5z + 5z = 0 3 + 9z = 48 + 0 3 + 9z = 48 Add '-3' to each side of the equation. 3 + -3 + 9z = 48 + -3 Combine like terms: 3 + -3 = 0 0 + 9z = 48 + -3 9z = 48 + -3 Combine like terms: 48 + -3 = 45 9z = 45 Divide each side by '9'. z = 5 Simplifying z = 5
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