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Simplifying 3(2z + 6) = 2(z + 10) Reorder the terms: 3(6 + 2z) = 2(z + 10) (6 * 3 + 2z * 3) = 2(z + 10) (18 + 6z) = 2(z + 10) Reorder the terms: 18 + 6z = 2(10 + z) 18 + 6z = (10 * 2 + z * 2) 18 + 6z = (20 + 2z) Solving 18 + 6z = 20 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 18 + 6z + -2z = 20 + 2z + -2z Combine like terms: 6z + -2z = 4z 18 + 4z = 20 + 2z + -2z Combine like terms: 2z + -2z = 0 18 + 4z = 20 + 0 18 + 4z = 20 Add '-18' to each side of the equation. 18 + -18 + 4z = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 4z = 20 + -18 4z = 20 + -18 Combine like terms: 20 + -18 = 2 4z = 2 Divide each side by '4'. z = 0.5 Simplifying z = 0.5
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