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Simplifying 3w + -11 = 21 + -5w Reorder the terms: -11 + 3w = 21 + -5w Solving -11 + 3w = 21 + -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. -11 + 3w + 5w = 21 + -5w + 5w Combine like terms: 3w + 5w = 8w -11 + 8w = 21 + -5w + 5w Combine like terms: -5w + 5w = 0 -11 + 8w = 21 + 0 -11 + 8w = 21 Add '11' to each side of the equation. -11 + 11 + 8w = 21 + 11 Combine like terms: -11 + 11 = 0 0 + 8w = 21 + 11 8w = 21 + 11 Combine like terms: 21 + 11 = 32 8w = 32 Divide each side by '8'. w = 4 Simplifying w = 4
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