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Simplifying 7w + -6w + 2w + w = 5w + 15 Combine like terms: 7w + -6w = 1w 1w + 2w + w = 5w + 15 Combine like terms: 1w + 2w = 3w 3w + w = 5w + 15 Combine like terms: 3w + w = 4w 4w = 5w + 15 Reorder the terms: 4w = 15 + 5w Solving 4w = 15 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 4w + -5w = 15 + 5w + -5w Combine like terms: 4w + -5w = -1w -1w = 15 + 5w + -5w Combine like terms: 5w + -5w = 0 -1w = 15 + 0 -1w = 15 Divide each side by '-1'. w = -15 Simplifying w = -15
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