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Simplifying 8(2z + 1) = 40 Reorder the terms: 8(1 + 2z) = 40 (1 * 8 + 2z * 8) = 40 (8 + 16z) = 40 Solving 8 + 16z = 40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 16z = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 16z = 40 + -8 16z = 40 + -8 Combine like terms: 40 + -8 = 32 16z = 32 Divide each side by '16'. z = 2 Simplifying z = 2
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