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Simplifying 40.06 = 2(2w + -2.5) + 2w Reorder the terms: 40.06 = 2(-2.5 + 2w) + 2w 40.06 = (-2.5 * 2 + 2w * 2) + 2w 40.06 = (-5 + 4w) + 2w Combine like terms: 4w + 2w = 6w 40.06 = -5 + 6w Solving 40.06 = -5 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 40.06 + -6w = -5 + 6w + -6w Combine like terms: 6w + -6w = 0 40.06 + -6w = -5 + 0 40.06 + -6w = -5 Add '-40.06' to each side of the equation. 40.06 + -40.06 + -6w = -5 + -40.06 Combine like terms: 40.06 + -40.06 = 0.00 0.00 + -6w = -5 + -40.06 -6w = -5 + -40.06 Combine like terms: -5 + -40.06 = -45.06 -6w = -45.06 Divide each side by '-6'. w = 7.51 Simplifying w = 7.51
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