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Simplifying 2 + -9w + -5 = 6 + -8w Reorder the terms: 2 + -5 + -9w = 6 + -8w Combine like terms: 2 + -5 = -3 -3 + -9w = 6 + -8w Solving -3 + -9w = 6 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -3 + -9w + 8w = 6 + -8w + 8w Combine like terms: -9w + 8w = -1w -3 + -1w = 6 + -8w + 8w Combine like terms: -8w + 8w = 0 -3 + -1w = 6 + 0 -3 + -1w = 6 Add '3' to each side of the equation. -3 + 3 + -1w = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = 6 + 3 -1w = 6 + 3 Combine like terms: 6 + 3 = 9 -1w = 9 Divide each side by '-1'. w = -9 Simplifying w = -9
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