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Simplifying 3w + 5 + 4w = -2 Reorder the terms: 5 + 3w + 4w = -2 Combine like terms: 3w + 4w = 7w 5 + 7w = -2 Solving 5 + 7w = -2 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 + 7w = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 7w = -2 + -5 7w = -2 + -5 Combine like terms: -2 + -5 = -7 7w = -7 Divide each side by '7'. w = -1 Simplifying w = -1
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