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