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Simplifying 400 + 2w = 250 + 5w Solving 400 + 2w = 250 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 400 + 2w + -5w = 250 + 5w + -5w Combine like terms: 2w + -5w = -3w 400 + -3w = 250 + 5w + -5w Combine like terms: 5w + -5w = 0 400 + -3w = 250 + 0 400 + -3w = 250 Add '-400' to each side of the equation. 400 + -400 + -3w = 250 + -400 Combine like terms: 400 + -400 = 0 0 + -3w = 250 + -400 -3w = 250 + -400 Combine like terms: 250 + -400 = -150 -3w = -150 Divide each side by '-3'. w = 50 Simplifying w = 50
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