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Simplifying (18z + 7) = (10z + 45) Reorder the terms: (7 + 18z) = (10z + 45) Remove parenthesis around (7 + 18z) 7 + 18z = (10z + 45) Reorder the terms: 7 + 18z = (45 + 10z) Remove parenthesis around (45 + 10z) 7 + 18z = 45 + 10z Solving 7 + 18z = 45 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 7 + 18z + -10z = 45 + 10z + -10z Combine like terms: 18z + -10z = 8z 7 + 8z = 45 + 10z + -10z Combine like terms: 10z + -10z = 0 7 + 8z = 45 + 0 7 + 8z = 45 Add '-7' to each side of the equation. 7 + -7 + 8z = 45 + -7 Combine like terms: 7 + -7 = 0 0 + 8z = 45 + -7 8z = 45 + -7 Combine like terms: 45 + -7 = 38 8z = 38 Divide each side by '8'. z = 4.75 Simplifying z = 4.75
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