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Simplifying 8z + -8 = 4z + 2 Reorder the terms: -8 + 8z = 4z + 2 Reorder the terms: -8 + 8z = 2 + 4z Solving -8 + 8z = 2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -8 + 8z + -4z = 2 + 4z + -4z Combine like terms: 8z + -4z = 4z -8 + 4z = 2 + 4z + -4z Combine like terms: 4z + -4z = 0 -8 + 4z = 2 + 0 -8 + 4z = 2 Add '8' to each side of the equation. -8 + 8 + 4z = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 4z = 2 + 8 4z = 2 + 8 Combine like terms: 2 + 8 = 10 4z = 10 Divide each side by '4'. z = 2.5 Simplifying z = 2.5
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