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Simplifying 2z + 21 = -2 + -5z Reorder the terms: 21 + 2z = -2 + -5z Solving 21 + 2z = -2 + -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. 21 + 2z + 5z = -2 + -5z + 5z Combine like terms: 2z + 5z = 7z 21 + 7z = -2 + -5z + 5z Combine like terms: -5z + 5z = 0 21 + 7z = -2 + 0 21 + 7z = -2 Add '-21' to each side of the equation. 21 + -21 + 7z = -2 + -21 Combine like terms: 21 + -21 = 0 0 + 7z = -2 + -21 7z = -2 + -21 Combine like terms: -2 + -21 = -23 7z = -23 Divide each side by '7'. z = -3.285714286 Simplifying z = -3.285714286
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