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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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