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Simplifying 48 = 2(w + 4) + 2w Reorder the terms: 48 = 2(4 + w) + 2w 48 = (4 * 2 + w * 2) + 2w 48 = (8 + 2w) + 2w Combine like terms: 2w + 2w = 4w 48 = 8 + 4w Solving 48 = 8 + 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. 48 + -4w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 48 + -4w = 8 + 0 48 + -4w = 8 Add '-48' to each side of the equation. 48 + -48 + -4w = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -4w = 8 + -48 -4w = 8 + -48 Combine like terms: 8 + -48 = -40 -4w = -40 Divide each side by '-4'. w = 10 Simplifying w = 10
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