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Simplifying 2(4z + 10) = 4z + 40 Reorder the terms: 2(10 + 4z) = 4z + 40 (10 * 2 + 4z * 2) = 4z + 40 (20 + 8z) = 4z + 40 Reorder the terms: 20 + 8z = 40 + 4z Solving 20 + 8z = 40 + 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 + 8z + -4z = 40 + 4z + -4z Combine like terms: 8z + -4z = 4z 20 + 4z = 40 + 4z + -4z Combine like terms: 4z + -4z = 0 20 + 4z = 40 + 0 20 + 4z = 40 Add '-20' to each side of the equation. 20 + -20 + 4z = 40 + -20 Combine like terms: 20 + -20 = 0 0 + 4z = 40 + -20 4z = 40 + -20 Combine like terms: 40 + -20 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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