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Simplifying 38 = 2(w + 7) + 2w Reorder the terms: 38 = 2(7 + w) + 2w 38 = (7 * 2 + w * 2) + 2w 38 = (14 + 2w) + 2w Combine like terms: 2w + 2w = 4w 38 = 14 + 4w Solving 38 = 14 + 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 = 14 + 4w + -4w Combine like terms: 4w + -4w = 0 38 + -4w = 14 + 0 38 + -4w = 14 Add '-38' to each side of the equation. 38 + -38 + -4w = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -4w = 14 + -38 -4w = 14 + -38 Combine like terms: 14 + -38 = -24 -4w = -24 Divide each side by '-4'. w = 6 Simplifying w = 6
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