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Simplifying 7w + 5 + -3w = -1w Reorder the terms: 5 + 7w + -3w = -1w Combine like terms: 7w + -3w = 4w 5 + 4w = -1w Solving 5 + 4w = -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. 5 + 4w + w = -1w + w Combine like terms: 4w + w = 5w 5 + 5w = -1w + w Combine like terms: -1w + w = 0 5 + 5w = 0 Add '-5' to each side of the equation. 5 + -5 + 5w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5w = 0 + -5 5w = 0 + -5 Combine like terms: 0 + -5 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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