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Simplifying 51 = 2(w + 5.9) + 2w Reorder the terms: 51 = 2(5.9 + w) + 2w 51 = (5.9 * 2 + w * 2) + 2w 51 = (11.8 + 2w) + 2w Combine like terms: 2w + 2w = 4w 51 = 11.8 + 4w Solving 51 = 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. 51 + -4w = 11.8 + 4w + -4w Combine like terms: 4w + -4w = 0 51 + -4w = 11.8 + 0 51 + -4w = 11.8 Add '-51' to each side of the equation. 51 + -51 + -4w = 11.8 + -51 Combine like terms: 51 + -51 = 0 0 + -4w = 11.8 + -51 -4w = 11.8 + -51 Combine like terms: 11.8 + -51 = -39.2 -4w = -39.2 Divide each side by '-4'. w = 9.8 Simplifying w = 9.8
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