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Simplifying 3(2z + 1) = 45 Reorder the terms: 3(1 + 2z) = 45 (1 * 3 + 2z * 3) = 45 (3 + 6z) = 45 Solving 3 + 6z = 45 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6z = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 6z = 45 + -3 6z = 45 + -3 Combine like terms: 45 + -3 = 42 6z = 42 Divide each side by '6'. z = 7 Simplifying z = 7
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