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Simplifying 4w + 3w + -6w = w + 15 + 2w Combine like terms: 4w + 3w = 7w 7w + -6w = w + 15 + 2w Combine like terms: 7w + -6w = 1w 1w = w + 15 + 2w Reorder the terms: 1w = 15 + w + 2w Combine like terms: w + 2w = 3w 1w = 15 + 3w Solving 1w = 15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 1w + -3w = 15 + 3w + -3w Combine like terms: 1w + -3w = -2w -2w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 -2w = 15 + 0 -2w = 15 Divide each side by '-2'. w = -7.5 Simplifying w = -7.5
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