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Simplifying 3w + -9 + -40 = 8 + -1w Reorder the terms: -9 + -40 + 3w = 8 + -1w Combine like terms: -9 + -40 = -49 -49 + 3w = 8 + -1w Solving -49 + 3w = 8 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -49 + 3w + w = 8 + -1w + w Combine like terms: 3w + w = 4w -49 + 4w = 8 + -1w + w Combine like terms: -1w + w = 0 -49 + 4w = 8 + 0 -49 + 4w = 8 Add '49' to each side of the equation. -49 + 49 + 4w = 8 + 49 Combine like terms: -49 + 49 = 0 0 + 4w = 8 + 49 4w = 8 + 49 Combine like terms: 8 + 49 = 57 4w = 57 Divide each side by '4'. w = 14.25 Simplifying w = 14.25
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