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Simplifying 29.8 = 2(w + 5.9) + 2w Reorder the terms: 29.8 = 2(5.9 + w) + 2w 29.8 = (5.9 * 2 + w * 2) + 2w 29.8 = (11.8 + 2w) + 2w Combine like terms: 2w + 2w = 4w 29.8 = 11.8 + 4w Solving 29.8 = 11.8 + 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. 29.8 + -4w = 11.8 + 4w + -4w Combine like terms: 4w + -4w = 0 29.8 + -4w = 11.8 + 0 29.8 + -4w = 11.8 Add '-29.8' to each side of the equation. 29.8 + -29.8 + -4w = 11.8 + -29.8 Combine like terms: 29.8 + -29.8 = 0.0 0.0 + -4w = 11.8 + -29.8 -4w = 11.8 + -29.8 Combine like terms: 11.8 + -29.8 = -18 -4w = -18 Divide each side by '-4'. w = 4.5 Simplifying w = 4.5
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