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Simplifying -1w + -3 = 9 + 9w + -8w Reorder the terms: -3 + -1w = 9 + 9w + -8w Combine like terms: 9w + -8w = 1w -3 + -1w = 9 + 1w Solving -3 + -1w = 9 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -3 + -1w + -1w = 9 + 1w + -1w Combine like terms: -1w + -1w = -2w -3 + -2w = 9 + 1w + -1w Combine like terms: 1w + -1w = 0 -3 + -2w = 9 + 0 -3 + -2w = 9 Add '3' to each side of the equation. -3 + 3 + -2w = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -2w = 9 + 3 -2w = 9 + 3 Combine like terms: 9 + 3 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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