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Simplifying 400 + -15w = 1000 + -40w Solving 400 + -15w = 1000 + -40w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '40w' to each side of the equation. 400 + -15w + 40w = 1000 + -40w + 40w Combine like terms: -15w + 40w = 25w 400 + 25w = 1000 + -40w + 40w Combine like terms: -40w + 40w = 0 400 + 25w = 1000 + 0 400 + 25w = 1000 Add '-400' to each side of the equation. 400 + -400 + 25w = 1000 + -400 Combine like terms: 400 + -400 = 0 0 + 25w = 1000 + -400 25w = 1000 + -400 Combine like terms: 1000 + -400 = 600 25w = 600 Divide each side by '25'. w = 24 Simplifying w = 24
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