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Simplifying 24 = 2(3 + w) + 2w 24 = (3 * 2 + w * 2) + 2w 24 = (6 + 2w) + 2w Combine like terms: 2w + 2w = 4w 24 = 6 + 4w Solving 24 = 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. 24 + -4w = 6 + 4w + -4w Combine like terms: 4w + -4w = 0 24 + -4w = 6 + 0 24 + -4w = 6 Add '-24' to each side of the equation. 24 + -24 + -4w = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -4w = 6 + -24 -4w = 6 + -24 Combine like terms: 6 + -24 = -18 -4w = -18 Divide each side by '-4'. w = 4.5 Simplifying w = 4.5
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