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Simplifying 5 + 18z + -3 = 7z + 50 + -5z Reorder the terms: 5 + -3 + 18z = 7z + 50 + -5z Combine like terms: 5 + -3 = 2 2 + 18z = 7z + 50 + -5z Reorder the terms: 2 + 18z = 50 + 7z + -5z Combine like terms: 7z + -5z = 2z 2 + 18z = 50 + 2z Solving 2 + 18z = 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. 2 + 18z + -2z = 50 + 2z + -2z Combine like terms: 18z + -2z = 16z 2 + 16z = 50 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 16z = 50 + 0 2 + 16z = 50 Add '-2' to each side of the equation. 2 + -2 + 16z = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 16z = 50 + -2 16z = 50 + -2 Combine like terms: 50 + -2 = 48 16z = 48 Divide each side by '16'. z = 3 Simplifying z = 3
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