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Simplifying 7z + 2 + -4z = 23 + -4z Reorder the terms: 2 + 7z + -4z = 23 + -4z Combine like terms: 7z + -4z = 3z 2 + 3z = 23 + -4z Solving 2 + 3z = 23 + -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. 2 + 3z + 4z = 23 + -4z + 4z Combine like terms: 3z + 4z = 7z 2 + 7z = 23 + -4z + 4z Combine like terms: -4z + 4z = 0 2 + 7z = 23 + 0 2 + 7z = 23 Add '-2' to each side of the equation. 2 + -2 + 7z = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 7z = 23 + -2 7z = 23 + -2 Combine like terms: 23 + -2 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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