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Simplifying 3w + 2 + -1w = -4 + -1w Reorder the terms: 2 + 3w + -1w = -4 + -1w Combine like terms: 3w + -1w = 2w 2 + 2w = -4 + -1w Solving 2 + 2w = -4 + -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. 2 + 2w + w = -4 + -1w + w Combine like terms: 2w + w = 3w 2 + 3w = -4 + -1w + w Combine like terms: -1w + w = 0 2 + 3w = -4 + 0 2 + 3w = -4 Add '-2' to each side of the equation. 2 + -2 + 3w = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 3w = -4 + -2 3w = -4 + -2 Combine like terms: -4 + -2 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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