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Simplifying 8z + 2 = 3z + 6 Reorder the terms: 2 + 8z = 3z + 6 Reorder the terms: 2 + 8z = 6 + 3z Solving 2 + 8z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 2 + 8z + -3z = 6 + 3z + -3z Combine like terms: 8z + -3z = 5z 2 + 5z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 5z = 6 + 0 2 + 5z = 6 Add '-2' to each side of the equation. 2 + -2 + 5z = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 5z = 6 + -2 5z = 6 + -2 Combine like terms: 6 + -2 = 4 5z = 4 Divide each side by '5'. z = 0.8 Simplifying z = 0.8
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