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Simplifying 2(5z + 10) = 4z + 50 Reorder the terms: 2(10 + 5z) = 4z + 50 (10 * 2 + 5z * 2) = 4z + 50 (20 + 10z) = 4z + 50 Reorder the terms: 20 + 10z = 50 + 4z Solving 20 + 10z = 50 + 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. 20 + 10z + -4z = 50 + 4z + -4z Combine like terms: 10z + -4z = 6z 20 + 6z = 50 + 4z + -4z Combine like terms: 4z + -4z = 0 20 + 6z = 50 + 0 20 + 6z = 50 Add '-20' to each side of the equation. 20 + -20 + 6z = 50 + -20 Combine like terms: 20 + -20 = 0 0 + 6z = 50 + -20 6z = 50 + -20 Combine like terms: 50 + -20 = 30 6z = 30 Divide each side by '6'. z = 5 Simplifying z = 5
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