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Simplifying 7 + 5z + -4 = 7z + 9 + -5z Reorder the terms: 7 + -4 + 5z = 7z + 9 + -5z Combine like terms: 7 + -4 = 3 3 + 5z = 7z + 9 + -5z Reorder the terms: 3 + 5z = 9 + 7z + -5z Combine like terms: 7z + -5z = 2z 3 + 5z = 9 + 2z Solving 3 + 5z = 9 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 3 + 5z + -2z = 9 + 2z + -2z Combine like terms: 5z + -2z = 3z 3 + 3z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 3z = 9 + 0 3 + 3z = 9 Add '-3' to each side of the equation. 3 + -3 + 3z = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 3z = 9 + -3 3z = 9 + -3 Combine like terms: 9 + -3 = 6 3z = 6 Divide each side by '3'. z = 2 Simplifying z = 2
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