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Simplifying 3 + 4(2z + 5) = 31 + 4z Reorder the terms: 3 + 4(5 + 2z) = 31 + 4z 3 + (5 * 4 + 2z * 4) = 31 + 4z 3 + (20 + 8z) = 31 + 4z Combine like terms: 3 + 20 = 23 23 + 8z = 31 + 4z Solving 23 + 8z = 31 + 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. 23 + 8z + -4z = 31 + 4z + -4z Combine like terms: 8z + -4z = 4z 23 + 4z = 31 + 4z + -4z Combine like terms: 4z + -4z = 0 23 + 4z = 31 + 0 23 + 4z = 31 Add '-23' to each side of the equation. 23 + -23 + 4z = 31 + -23 Combine like terms: 23 + -23 = 0 0 + 4z = 31 + -23 4z = 31 + -23 Combine like terms: 31 + -23 = 8 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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