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Simplifying 2z + 8 = 15 + -5z Reorder the terms: 8 + 2z = 15 + -5z Solving 8 + 2z = 15 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 8 + 2z + 5z = 15 + -5z + 5z Combine like terms: 2z + 5z = 7z 8 + 7z = 15 + -5z + 5z Combine like terms: -5z + 5z = 0 8 + 7z = 15 + 0 8 + 7z = 15 Add '-8' to each side of the equation. 8 + -8 + 7z = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 7z = 15 + -8 7z = 15 + -8 Combine like terms: 15 + -8 = 7 7z = 7 Divide each side by '7'. z = 1 Simplifying z = 1
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