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Simplifying (2w + 7) + (4w + 2) = 0 Reorder the terms: (7 + 2w) + (4w + 2) = 0 Remove parenthesis around (7 + 2w) 7 + 2w + (4w + 2) = 0 Reorder the terms: 7 + 2w + (2 + 4w) = 0 Remove parenthesis around (2 + 4w) 7 + 2w + 2 + 4w = 0 Reorder the terms: 7 + 2 + 2w + 4w = 0 Combine like terms: 7 + 2 = 9 9 + 2w + 4w = 0 Combine like terms: 2w + 4w = 6w 9 + 6w = 0 Solving 9 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6w = 0 + -9 6w = 0 + -9 Combine like terms: 0 + -9 = -9 6w = -9 Divide each side by '6'. w = -1.5 Simplifying w = -1.5
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