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Simplifying (12 + 3w + -5) + 6w + -3 + -5w = 0 Reorder the terms: (12 + -5 + 3w) + 6w + -3 + -5w = 0 Combine like terms: 12 + -5 = 7 (7 + 3w) + 6w + -3 + -5w = 0 Remove parenthesis around (7 + 3w) 7 + 3w + 6w + -3 + -5w = 0 Reorder the terms: 7 + -3 + 3w + 6w + -5w = 0 Combine like terms: 7 + -3 = 4 4 + 3w + 6w + -5w = 0 Combine like terms: 3w + 6w = 9w 4 + 9w + -5w = 0 Combine like terms: 9w + -5w = 4w 4 + 4w = 0 Solving 4 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = 0 + -4 4w = 0 + -4 Combine like terms: 0 + -4 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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