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Simplifying 2(3z + 1) = 8 Reorder the terms: 2(1 + 3z) = 8 (1 * 2 + 3z * 2) = 8 (2 + 6z) = 8 Solving 2 + 6z = 8 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6z = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 6z = 8 + -2 6z = 8 + -2 Combine like terms: 8 + -2 = 6 6z = 6 Divide each side by '6'. z = 1 Simplifying z = 1
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