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Simplifying 6z + 1 + 49 + 82 = 180 Reorder the terms: 1 + 49 + 82 + 6z = 180 Combine like terms: 1 + 49 = 50 50 + 82 + 6z = 180 Combine like terms: 50 + 82 = 132 132 + 6z = 180 Solving 132 + 6z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-132' to each side of the equation. 132 + -132 + 6z = 180 + -132 Combine like terms: 132 + -132 = 0 0 + 6z = 180 + -132 6z = 180 + -132 Combine like terms: 180 + -132 = 48 6z = 48 Divide each side by '6'. z = 8 Simplifying z = 8
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