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Simplifying 7z + -8 + 9 + -4z = 0 Reorder the terms: -8 + 9 + 7z + -4z = 0 Combine like terms: -8 + 9 = 1 1 + 7z + -4z = 0 Combine like terms: 7z + -4z = 3z 1 + 3z = 0 Solving 1 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = 0 + -1 3z = 0 + -1 Combine like terms: 0 + -1 = -1 3z = -1 Divide each side by '3'. z = -0.3333333333 Simplifying z = -0.3333333333
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