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Simplifying -7w + 11w + 5 = 2w + 31 Reorder the terms: 5 + -7w + 11w = 2w + 31 Combine like terms: -7w + 11w = 4w 5 + 4w = 2w + 31 Reorder the terms: 5 + 4w = 31 + 2w Solving 5 + 4w = 31 + 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. 5 + 4w + -2w = 31 + 2w + -2w Combine like terms: 4w + -2w = 2w 5 + 2w = 31 + 2w + -2w Combine like terms: 2w + -2w = 0 5 + 2w = 31 + 0 5 + 2w = 31 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 = 26 2w = 26 Divide each side by '2'. w = 13 Simplifying w = 13
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