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Simplifying 7z + 9 + -4z = 65 + -4z Reorder the terms: 9 + 7z + -4z = 65 + -4z Combine like terms: 7z + -4z = 3z 9 + 3z = 65 + -4z Solving 9 + 3z = 65 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 9 + 3z + 4z = 65 + -4z + 4z Combine like terms: 3z + 4z = 7z 9 + 7z = 65 + -4z + 4z Combine like terms: -4z + 4z = 0 9 + 7z = 65 + 0 9 + 7z = 65 Add '-9' to each side of the equation. 9 + -9 + 7z = 65 + -9 Combine like terms: 9 + -9 = 0 0 + 7z = 65 + -9 7z = 65 + -9 Combine like terms: 65 + -9 = 56 7z = 56 Divide each side by '7'. z = 8 Simplifying z = 8
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