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Simplifying -1z + -6z = z + -7 + 8z Combine like terms: -1z + -6z = -7z -7z = z + -7 + 8z Reorder the terms: -7z = -7 + z + 8z Combine like terms: z + 8z = 9z -7z = -7 + 9z Solving -7z = -7 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -7z + -9z = -7 + 9z + -9z Combine like terms: -7z + -9z = -16z -16z = -7 + 9z + -9z Combine like terms: 9z + -9z = 0 -16z = -7 + 0 -16z = -7 Divide each side by '-16'. z = 0.4375 Simplifying z = 0.4375
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