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Simplifying 5w + 40 = 9w Reorder the terms: 40 + 5w = 9w Solving 40 + 5w = 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 40 + 5w + -9w = 9w + -9w Combine like terms: 5w + -9w = -4w 40 + -4w = 9w + -9w Combine like terms: 9w + -9w = 0 40 + -4w = 0 Add '-40' to each side of the equation. 40 + -40 + -4w = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -4w = 0 + -40 -4w = 0 + -40 Combine like terms: 0 + -40 = -40 -4w = -40 Divide each side by '-4'. w = 10 Simplifying w = 10
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