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Simplifying -3w + 3 + -7w + 22 = 40w Reorder the terms: 3 + 22 + -3w + -7w = 40w Combine like terms: 3 + 22 = 25 25 + -3w + -7w = 40w Combine like terms: -3w + -7w = -10w 25 + -10w = 40w Solving 25 + -10w = 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. 25 + -10w + -40w = 40w + -40w Combine like terms: -10w + -40w = -50w 25 + -50w = 40w + -40w Combine like terms: 40w + -40w = 0 25 + -50w = 0 Add '-25' to each side of the equation. 25 + -25 + -50w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -50w = 0 + -25 -50w = 0 + -25 Combine like terms: 0 + -25 = -25 -50w = -25 Divide each side by '-50'. w = 0.5 Simplifying w = 0.5
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