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Simplifying 4 + 20 + -8 = w + -2w + 9 Combine like terms: 4 + 20 = 24 24 + -8 = w + -2w + 9 Combine like terms: 24 + -8 = 16 16 = w + -2w + 9 Reorder the terms: 16 = 9 + w + -2w Combine like terms: w + -2w = -1w 16 = 9 + -1w Solving 16 = 9 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 16 + w = 9 + -1w + w Combine like terms: -1w + w = 0 16 + w = 9 + 0 16 + w = 9 Add '-16' to each side of the equation. 16 + -16 + w = 9 + -16 Combine like terms: 16 + -16 = 0 0 + w = 9 + -16 w = 9 + -16 Combine like terms: 9 + -16 = -7 w = -7 Simplifying w = -7
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