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Simplifying 3(2z + 5) = 45 Reorder the terms: 3(5 + 2z) = 45 (5 * 3 + 2z * 3) = 45 (15 + 6z) = 45 Solving 15 + 6z = 45 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6z = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 6z = 45 + -15 6z = 45 + -15 Combine like terms: 45 + -15 = 30 6z = 30 Divide each side by '6'. z = 5 Simplifying z = 5
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