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Simplifying -8 + 7z + 2 + -2z = 0 Reorder the terms: -8 + 2 + 7z + -2z = 0 Combine like terms: -8 + 2 = -6 -6 + 7z + -2z = 0 Combine like terms: 7z + -2z = 5z -6 + 5z = 0 Solving -6 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = 0 + 6 5z = 0 + 6 Combine like terms: 0 + 6 = 6 5z = 6 Divide each side by '5'. z = 1.2 Simplifying z = 1.2
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