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Simplifying 5z + -34 = 50 + -2z Reorder the terms: -34 + 5z = 50 + -2z Solving -34 + 5z = 50 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -34 + 5z + 2z = 50 + -2z + 2z Combine like terms: 5z + 2z = 7z -34 + 7z = 50 + -2z + 2z Combine like terms: -2z + 2z = 0 -34 + 7z = 50 + 0 -34 + 7z = 50 Add '34' to each side of the equation. -34 + 34 + 7z = 50 + 34 Combine like terms: -34 + 34 = 0 0 + 7z = 50 + 34 7z = 50 + 34 Combine like terms: 50 + 34 = 84 7z = 84 Divide each side by '7'. z = 12 Simplifying z = 12
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