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Simplifying 3(2z + 6) = 4(z + 5) Reorder the terms: 3(6 + 2z) = 4(z + 5) (6 * 3 + 2z * 3) = 4(z + 5) (18 + 6z) = 4(z + 5) Reorder the terms: 18 + 6z = 4(5 + z) 18 + 6z = (5 * 4 + z * 4) 18 + 6z = (20 + 4z) Solving 18 + 6z = 20 + 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. 18 + 6z + -4z = 20 + 4z + -4z Combine like terms: 6z + -4z = 2z 18 + 2z = 20 + 4z + -4z Combine like terms: 4z + -4z = 0 18 + 2z = 20 + 0 18 + 2z = 20 Add '-18' to each side of the equation. 18 + -18 + 2z = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 2z = 20 + -18 2z = 20 + -18 Combine like terms: 20 + -18 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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