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Simplifying 4z + 2 = 8 + -4z Reorder the terms: 2 + 4z = 8 + -4z Solving 2 + 4z = 8 + -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. 2 + 4z + 4z = 8 + -4z + 4z Combine like terms: 4z + 4z = 8z 2 + 8z = 8 + -4z + 4z Combine like terms: -4z + 4z = 0 2 + 8z = 8 + 0 2 + 8z = 8 Add '-2' to each side of the equation. 2 + -2 + 8z = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 8z = 8 + -2 8z = 8 + -2 Combine like terms: 8 + -2 = 6 8z = 6 Divide each side by '8'. z = 0.75 Simplifying z = 0.75
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