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Simplifying 4w + 2(2w + 1) = 162 Reorder the terms: 4w + 2(1 + 2w) = 162 4w + (1 * 2 + 2w * 2) = 162 4w + (2 + 4w) = 162 Reorder the terms: 2 + 4w + 4w = 162 Combine like terms: 4w + 4w = 8w 2 + 8w = 162 Solving 2 + 8w = 162 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8w = 162 + -2 Combine like terms: 2 + -2 = 0 0 + 8w = 162 + -2 8w = 162 + -2 Combine like terms: 162 + -2 = 160 8w = 160 Divide each side by '8'. w = 20 Simplifying w = 20
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