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Simplifying 48 = 2((w + 6) + w) Reorder the terms: 48 = 2((6 + w) + w) Remove parenthesis around (6 + w) 48 = 2(6 + w + w) Combine like terms: w + w = 2w 48 = 2(6 + 2w) 48 = (6 * 2 + 2w * 2) 48 = (12 + 4w) Solving 48 = 12 + 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 = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 48 + -4w = 12 + 0 48 + -4w = 12 Add '-48' to each side of the equation. 48 + -48 + -4w = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -4w = 12 + -48 -4w = 12 + -48 Combine like terms: 12 + -48 = -36 -4w = -36 Divide each side by '-4'. w = 9 Simplifying w = 9
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