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Simplifying -9 + -3w = 7 + -5w Solving -9 + -3w = 7 + -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. -9 + -3w + 5w = 7 + -5w + 5w Combine like terms: -3w + 5w = 2w -9 + 2w = 7 + -5w + 5w Combine like terms: -5w + 5w = 0 -9 + 2w = 7 + 0 -9 + 2w = 7 Add '9' to each side of the equation. -9 + 9 + 2w = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2w = 7 + 9 2w = 7 + 9 Combine like terms: 7 + 9 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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