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Simplifying 5w + -8 + 3w + 10 = 8w + 11 + -3w Reorder the terms: -8 + 10 + 5w + 3w = 8w + 11 + -3w Combine like terms: -8 + 10 = 2 2 + 5w + 3w = 8w + 11 + -3w Combine like terms: 5w + 3w = 8w 2 + 8w = 8w + 11 + -3w Reorder the terms: 2 + 8w = 11 + 8w + -3w Combine like terms: 8w + -3w = 5w 2 + 8w = 11 + 5w Solving 2 + 8w = 11 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 2 + 8w + -5w = 11 + 5w + -5w Combine like terms: 8w + -5w = 3w 2 + 3w = 11 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + 3w = 11 + 0 2 + 3w = 11 Add '-2' to each side of the equation. 2 + -2 + 3w = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 3w = 11 + -2 3w = 11 + -2 Combine like terms: 11 + -2 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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