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Simplifying 3(6z + 7) + (10z + 45) = 180 Reorder the terms: 3(7 + 6z) + (10z + 45) = 180 (7 * 3 + 6z * 3) + (10z + 45) = 180 (21 + 18z) + (10z + 45) = 180 Reorder the terms: 21 + 18z + (45 + 10z) = 180 Remove parenthesis around (45 + 10z) 21 + 18z + 45 + 10z = 180 Reorder the terms: 21 + 45 + 18z + 10z = 180 Combine like terms: 21 + 45 = 66 66 + 18z + 10z = 180 Combine like terms: 18z + 10z = 28z 66 + 28z = 180 Solving 66 + 28z = 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 + 28z = 180 + -66 Combine like terms: 66 + -66 = 0 0 + 28z = 180 + -66 28z = 180 + -66 Combine like terms: 180 + -66 = 114 28z = 114 Divide each side by '28'. z = 4.071428571 Simplifying z = 4.071428571
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