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Simplifying 9w + -7w + 5 = -31 Reorder the terms: 5 + 9w + -7w = -31 Combine like terms: 9w + -7w = 2w 5 + 2w = -31 Solving 5 + 2w = -31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2w = -31 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = -31 + -5 2w = -31 + -5 Combine like terms: -31 + -5 = -36 2w = -36 Divide each side by '2'. w = -18 Simplifying w = -18
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