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Simplifying 7z + 25 = 4(2 + -5z) Reorder the terms: 25 + 7z = 4(2 + -5z) 25 + 7z = (2 * 4 + -5z * 4) 25 + 7z = (8 + -20z) Solving 25 + 7z = 8 + -20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20z' to each side of the equation. 25 + 7z + 20z = 8 + -20z + 20z Combine like terms: 7z + 20z = 27z 25 + 27z = 8 + -20z + 20z Combine like terms: -20z + 20z = 0 25 + 27z = 8 + 0 25 + 27z = 8 Add '-25' to each side of the equation. 25 + -25 + 27z = 8 + -25 Combine like terms: 25 + -25 = 0 0 + 27z = 8 + -25 27z = 8 + -25 Combine like terms: 8 + -25 = -17 27z = -17 Divide each side by '27'. z = -0.6296296296 Simplifying z = -0.6296296296
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