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Simplifying 7w + -3w + 2w = -3w + 40 + -1w Combine like terms: 7w + -3w = 4w 4w + 2w = -3w + 40 + -1w Combine like terms: 4w + 2w = 6w 6w = -3w + 40 + -1w Reorder the terms: 6w = 40 + -3w + -1w Combine like terms: -3w + -1w = -4w 6w = 40 + -4w Solving 6w = 40 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 6w + 4w = 40 + -4w + 4w Combine like terms: 6w + 4w = 10w 10w = 40 + -4w + 4w Combine like terms: -4w + 4w = 0 10w = 40 + 0 10w = 40 Divide each side by '10'. w = 4 Simplifying w = 4
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