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Simplifying 3(2z + 25) = 78 Reorder the terms: 3(25 + 2z) = 78 (25 * 3 + 2z * 3) = 78 (75 + 6z) = 78 Solving 75 + 6z = 78 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 6z = 78 + -75 Combine like terms: 75 + -75 = 0 0 + 6z = 78 + -75 6z = 78 + -75 Combine like terms: 78 + -75 = 3 6z = 3 Divide each side by '6'. z = 0.5 Simplifying z = 0.5
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