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Simplifying 7z + 5 + -1z + 3 = 9z + -1z + 5 + 20 Reorder the terms: 5 + 3 + 7z + -1z = 9z + -1z + 5 + 20 Combine like terms: 5 + 3 = 8 8 + 7z + -1z = 9z + -1z + 5 + 20 Combine like terms: 7z + -1z = 6z 8 + 6z = 9z + -1z + 5 + 20 Reorder the terms: 8 + 6z = 5 + 20 + 9z + -1z Combine like terms: 5 + 20 = 25 8 + 6z = 25 + 9z + -1z Combine like terms: 9z + -1z = 8z 8 + 6z = 25 + 8z Solving 8 + 6z = 25 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 8 + 6z + -8z = 25 + 8z + -8z Combine like terms: 6z + -8z = -2z 8 + -2z = 25 + 8z + -8z Combine like terms: 8z + -8z = 0 8 + -2z = 25 + 0 8 + -2z = 25 Add '-8' to each side of the equation. 8 + -8 + -2z = 25 + -8 Combine like terms: 8 + -8 = 0 0 + -2z = 25 + -8 -2z = 25 + -8 Combine like terms: 25 + -8 = 17 -2z = 17 Divide each side by '-2'. z = -8.5 Simplifying z = -8.5
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