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Simplifying -9 + 7w + 6 = -2w + -27 + -3w Reorder the terms: -9 + 6 + 7w = -2w + -27 + -3w Combine like terms: -9 + 6 = -3 -3 + 7w = -2w + -27 + -3w Reorder the terms: -3 + 7w = -27 + -2w + -3w Combine like terms: -2w + -3w = -5w -3 + 7w = -27 + -5w Solving -3 + 7w = -27 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -3 + 7w + 5w = -27 + -5w + 5w Combine like terms: 7w + 5w = 12w -3 + 12w = -27 + -5w + 5w Combine like terms: -5w + 5w = 0 -3 + 12w = -27 + 0 -3 + 12w = -27 Add '3' to each side of the equation. -3 + 3 + 12w = -27 + 3 Combine like terms: -3 + 3 = 0 0 + 12w = -27 + 3 12w = -27 + 3 Combine like terms: -27 + 3 = -24 12w = -24 Divide each side by '12'. w = -2 Simplifying w = -2
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