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Simplifying 3(4z + 7) = 45 Reorder the terms: 3(7 + 4z) = 45 (7 * 3 + 4z * 3) = 45 (21 + 12z) = 45 Solving 21 + 12z = 45 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 12z = 45 + -21 Combine like terms: 21 + -21 = 0 0 + 12z = 45 + -21 12z = 45 + -21 Combine like terms: 45 + -21 = 24 12z = 24 Divide each side by '12'. z = 2 Simplifying z = 2
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