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Simplifying 7z + -21 = -11 + 5z Reorder the terms: -21 + 7z = -11 + 5z Solving -21 + 7z = -11 + 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 + 7z + -5z = -11 + 5z + -5z Combine like terms: 7z + -5z = 2z -21 + 2z = -11 + 5z + -5z Combine like terms: 5z + -5z = 0 -21 + 2z = -11 + 0 -21 + 2z = -11 Add '21' to each side of the equation. -21 + 21 + 2z = -11 + 21 Combine like terms: -21 + 21 = 0 0 + 2z = -11 + 21 2z = -11 + 21 Combine like terms: -11 + 21 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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