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Simplifying 23 + -4z = 53 + -7z Solving 23 + -4z = 53 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 23 + -4z + 7z = 53 + -7z + 7z Combine like terms: -4z + 7z = 3z 23 + 3z = 53 + -7z + 7z Combine like terms: -7z + 7z = 0 23 + 3z = 53 + 0 23 + 3z = 53 Add '-23' to each side of the equation. 23 + -23 + 3z = 53 + -23 Combine like terms: 23 + -23 = 0 0 + 3z = 53 + -23 3z = 53 + -23 Combine like terms: 53 + -23 = 30 3z = 30 Divide each side by '3'. z = 10 Simplifying z = 10
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