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Simplifying 3w + 4w + -2w + 5 = -50 Reorder the terms: 5 + 3w + 4w + -2w = -50 Combine like terms: 3w + 4w = 7w 5 + 7w + -2w = -50 Combine like terms: 7w + -2w = 5w 5 + 5w = -50 Solving 5 + 5w = -50 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5w = -50 + -5 Combine like terms: 5 + -5 = 0 0 + 5w = -50 + -5 5w = -50 + -5 Combine like terms: -50 + -5 = -55 5w = -55 Divide each side by '5'. w = -11 Simplifying w = -11
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