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Simplifying 5 = 7w + -8w + 2 Reorder the terms: 5 = 2 + 7w + -8w Combine like terms: 7w + -8w = -1w 5 = 2 + -1w Solving 5 = 2 + -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. 5 + w = 2 + -1w + w Combine like terms: -1w + w = 0 5 + w = 2 + 0 5 + w = 2 Add '-5' to each side of the equation. 5 + -5 + w = 2 + -5 Combine like terms: 5 + -5 = 0 0 + w = 2 + -5 w = 2 + -5 Combine like terms: 2 + -5 = -3 w = -3 Simplifying w = -3
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