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Simplifying 7z + 3 + -5z = 66 + -5z Reorder the terms: 3 + 7z + -5z = 66 + -5z Combine like terms: 7z + -5z = 2z 3 + 2z = 66 + -5z Solving 3 + 2z = 66 + -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. 3 + 2z + 5z = 66 + -5z + 5z Combine like terms: 2z + 5z = 7z 3 + 7z = 66 + -5z + 5z Combine like terms: -5z + 5z = 0 3 + 7z = 66 + 0 3 + 7z = 66 Add '-3' to each side of the equation. 3 + -3 + 7z = 66 + -3 Combine like terms: 3 + -3 = 0 0 + 7z = 66 + -3 7z = 66 + -3 Combine like terms: 66 + -3 = 63 7z = 63 Divide each side by '7'. z = 9 Simplifying z = 9
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