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Simplifying 9 + 3z = 58 + -4z Solving 9 + 3z = 58 + -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 = 58 + -4z + 4z Combine like terms: 3z + 4z = 7z 9 + 7z = 58 + -4z + 4z Combine like terms: -4z + 4z = 0 9 + 7z = 58 + 0 9 + 7z = 58 Add '-9' to each side of the equation. 9 + -9 + 7z = 58 + -9 Combine like terms: 9 + -9 = 0 0 + 7z = 58 + -9 7z = 58 + -9 Combine like terms: 58 + -9 = 49 7z = 49 Divide each side by '7'. z = 7 Simplifying z = 7
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