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Simplifying 4z + -8z = 4z + -1 + 8z Combine like terms: 4z + -8z = -4z -4z = 4z + -1 + 8z Reorder the terms: -4z = -1 + 4z + 8z Combine like terms: 4z + 8z = 12z -4z = -1 + 12z Solving -4z = -1 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -4z + -12z = -1 + 12z + -12z Combine like terms: -4z + -12z = -16z -16z = -1 + 12z + -12z Combine like terms: 12z + -12z = 0 -16z = -1 + 0 -16z = -1 Divide each side by '-16'. z = 0.0625 Simplifying z = 0.0625
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