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Simplifying 9w + -8w + 2 = -4 + 2w Reorder the terms: 2 + 9w + -8w = -4 + 2w Combine like terms: 9w + -8w = 1w 2 + 1w = -4 + 2w Solving 2 + 1w = -4 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 2 + 1w + -2w = -4 + 2w + -2w Combine like terms: 1w + -2w = -1w 2 + -1w = -4 + 2w + -2w Combine like terms: 2w + -2w = 0 2 + -1w = -4 + 0 2 + -1w = -4 Add '-2' to each side of the equation. 2 + -2 + -1w = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = -4 + -2 -1w = -4 + -2 Combine like terms: -4 + -2 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6
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