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Simplifying 3z + 2 + 19 + 45 = 180 Reorder the terms: 2 + 19 + 45 + 3z = 180 Combine like terms: 2 + 19 = 21 21 + 45 + 3z = 180 Combine like terms: 21 + 45 = 66 66 + 3z = 180 Solving 66 + 3z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 3z = 180 + -66 Combine like terms: 66 + -66 = 0 0 + 3z = 180 + -66 3z = 180 + -66 Combine like terms: 180 + -66 = 114 3z = 114 Divide each side by '3'. z = 38 Simplifying z = 38
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