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Simplifying 40.06 = 2(w + -2.5) + 2w Reorder the terms: 40.06 = 2(-2.5 + w) + 2w 40.06 = (-2.5 * 2 + w * 2) + 2w 40.06 = (-5 + 2w) + 2w Combine like terms: 2w + 2w = 4w 40.06 = -5 + 4w Solving 40.06 = -5 + 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. 40.06 + -4w = -5 + 4w + -4w Combine like terms: 4w + -4w = 0 40.06 + -4w = -5 + 0 40.06 + -4w = -5 Add '-40.06' to each side of the equation. 40.06 + -40.06 + -4w = -5 + -40.06 Combine like terms: 40.06 + -40.06 = 0.00 0.00 + -4w = -5 + -40.06 -4w = -5 + -40.06 Combine like terms: -5 + -40.06 = -45.06 -4w = -45.06 Divide each side by '-4'. w = 11.265 Simplifying w = 11.265
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