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Simplifying -7z + 2z + -32 + -7 = 0 Reorder the terms: -32 + -7 + -7z + 2z = 0 Combine like terms: -32 + -7 = -39 -39 + -7z + 2z = 0 Combine like terms: -7z + 2z = -5z -39 + -5z = 0 Solving -39 + -5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -5z = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -5z = 0 + 39 -5z = 0 + 39 Combine like terms: 0 + 39 = 39 -5z = 39 Divide each side by '-5'. z = -7.8 Simplifying z = -7.8
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