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Simplifying 16(z + 36) = 4(z + 9) Reorder the terms: 16(36 + z) = 4(z + 9) (36 * 16 + z * 16) = 4(z + 9) (576 + 16z) = 4(z + 9) Reorder the terms: 576 + 16z = 4(9 + z) 576 + 16z = (9 * 4 + z * 4) 576 + 16z = (36 + 4z) Solving 576 + 16z = 36 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 576 + 16z + -4z = 36 + 4z + -4z Combine like terms: 16z + -4z = 12z 576 + 12z = 36 + 4z + -4z Combine like terms: 4z + -4z = 0 576 + 12z = 36 + 0 576 + 12z = 36 Add '-576' to each side of the equation. 576 + -576 + 12z = 36 + -576 Combine like terms: 576 + -576 = 0 0 + 12z = 36 + -576 12z = 36 + -576 Combine like terms: 36 + -576 = -540 12z = -540 Divide each side by '12'. z = -45 Simplifying z = -45
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