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Simplifying 6z + z + 47 = 180 Reorder the terms: 47 + 6z + z = 180 Combine like terms: 6z + z = 7z 47 + 7z = 180 Solving 47 + 7z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 7z = 180 + -47 Combine like terms: 47 + -47 = 0 0 + 7z = 180 + -47 7z = 180 + -47 Combine like terms: 180 + -47 = 133 7z = 133 Divide each side by '7'. z = 19 Simplifying z = 19
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