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Simplifying 38 = 2w + 2(w + 3) Reorder the terms: 38 = 2w + 2(3 + w) 38 = 2w + (3 * 2 + w * 2) 38 = 2w + (6 + 2w) Reorder the terms: 38 = 6 + 2w + 2w Combine like terms: 2w + 2w = 4w 38 = 6 + 4w Solving 38 = 6 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 38 + -4w = 6 + 4w + -4w Combine like terms: 4w + -4w = 0 38 + -4w = 6 + 0 38 + -4w = 6 Add '-38' to each side of the equation. 38 + -38 + -4w = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -4w = 6 + -38 -4w = 6 + -38 Combine like terms: 6 + -38 = -32 -4w = -32 Divide each side by '-4'. w = 8 Simplifying w = 8
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