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Simplifying 2z + 5 + -7z = 21 + -7z Reorder the terms: 5 + 2z + -7z = 21 + -7z Combine like terms: 2z + -7z = -5z 5 + -5z = 21 + -7z Solving 5 + -5z = 21 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 5 + -5z + 7z = 21 + -7z + 7z Combine like terms: -5z + 7z = 2z 5 + 2z = 21 + -7z + 7z Combine like terms: -7z + 7z = 0 5 + 2z = 21 + 0 5 + 2z = 21 Add '-5' to each side of the equation. 5 + -5 + 2z = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 2z = 21 + -5 2z = 21 + -5 Combine like terms: 21 + -5 = 16 2z = 16 Divide each side by '2'. z = 8 Simplifying z = 8
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