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Simplifying 5 + 8z + -4 = 7z + 9 + -3z Reorder the terms: 5 + -4 + 8z = 7z + 9 + -3z Combine like terms: 5 + -4 = 1 1 + 8z = 7z + 9 + -3z Reorder the terms: 1 + 8z = 9 + 7z + -3z Combine like terms: 7z + -3z = 4z 1 + 8z = 9 + 4z Solving 1 + 8z = 9 + 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. 1 + 8z + -4z = 9 + 4z + -4z Combine like terms: 8z + -4z = 4z 1 + 4z = 9 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + 4z = 9 + 0 1 + 4z = 9 Add '-1' to each side of the equation. 1 + -1 + 4z = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4z = 9 + -1 4z = 9 + -1 Combine like terms: 9 + -1 = 8 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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