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Simplifying -1w + 3 + -1w = 7 + -4w Reorder the terms: 3 + -1w + -1w = 7 + -4w Combine like terms: -1w + -1w = -2w 3 + -2w = 7 + -4w Solving 3 + -2w = 7 + -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. 3 + -2w + 4w = 7 + -4w + 4w Combine like terms: -2w + 4w = 2w 3 + 2w = 7 + -4w + 4w Combine like terms: -4w + 4w = 0 3 + 2w = 7 + 0 3 + 2w = 7 Add '-3' to each side of the equation. 3 + -3 + 2w = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 7 + -3 2w = 7 + -3 Combine like terms: 7 + -3 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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