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Simplifying 5(z + 6) = 82 Reorder the terms: 5(6 + z) = 82 (6 * 5 + z * 5) = 82 (30 + 5z) = 82 Solving 30 + 5z = 82 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5z = 82 + -30 Combine like terms: 30 + -30 = 0 0 + 5z = 82 + -30 5z = 82 + -30 Combine like terms: 82 + -30 = 52 5z = 52 Divide each side by '5'. z = 10.4 Simplifying z = 10.4
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