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Simplifying 3 + 4(1z + 5) = 31 Reorder the terms: 3 + 4(5 + 1z) = 31 3 + (5 * 4 + 1z * 4) = 31 3 + (20 + 4z) = 31 Combine like terms: 3 + 20 = 23 23 + 4z = 31 Solving 23 + 4z = 31 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. 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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