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Simplifying (15 + 45) * 15 = (18 + z) * 18 Combine like terms: 15 + 45 = 60 (60) * 15 = (18 + z) * 18 Multiply 60 * 15 900 = (18 + z) * 18 Reorder the terms for easier multiplication: 900 = 18(18 + z) 900 = (18 * 18 + z * 18) 900 = (324 + 18z) Solving 900 = 324 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 900 + -18z = 324 + 18z + -18z Combine like terms: 18z + -18z = 0 900 + -18z = 324 + 0 900 + -18z = 324 Add '-900' to each side of the equation. 900 + -900 + -18z = 324 + -900 Combine like terms: 900 + -900 = 0 0 + -18z = 324 + -900 -18z = 324 + -900 Combine like terms: 324 + -900 = -576 -18z = -576 Divide each side by '-18'. z = 32 Simplifying z = 32
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