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