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Simplifying -8 + 7z + 7 + -3z = 0 Reorder the terms: -8 + 7 + 7z + -3z = 0 Combine like terms: -8 + 7 = -1 -1 + 7z + -3z = 0 Combine like terms: 7z + -3z = 4z -1 + 4z = 0 Solving -1 + 4z = 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 + 4z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4z = 0 + 1 4z = 0 + 1 Combine like terms: 0 + 1 = 1 4z = 1 Divide each side by '4'. z = 0.25 Simplifying z = 0.25
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