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Simplifying -5w + -40 + -9 + -3w = -9w Reorder the terms: -40 + -9 + -5w + -3w = -9w Combine like terms: -40 + -9 = -49 -49 + -5w + -3w = -9w Combine like terms: -5w + -3w = -8w -49 + -8w = -9w Solving -49 + -8w = -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. -49 + -8w + 9w = -9w + 9w Combine like terms: -8w + 9w = 1w -49 + 1w = -9w + 9w Combine like terms: -9w + 9w = 0 -49 + 1w = 0 Add '49' to each side of the equation. -49 + 49 + 1w = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 1w = 0 + 49 1w = 0 + 49 Combine like terms: 0 + 49 = 49 1w = 49 Divide each side by '1'. w = 49 Simplifying w = 49
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