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Simplifying 11.5w + 3 = 3.5w + -5 Reorder the terms: 3 + 11.5w = 3.5w + -5 Reorder the terms: 3 + 11.5w = -5 + 3.5w Solving 3 + 11.5w = -5 + 3.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.5w' to each side of the equation. 3 + 11.5w + -3.5w = -5 + 3.5w + -3.5w Combine like terms: 11.5w + -3.5w = 8w 3 + 8w = -5 + 3.5w + -3.5w Combine like terms: 3.5w + -3.5w = 0.0 3 + 8w = -5 + 0.0 3 + 8w = -5 Add '-3' to each side of the equation. 3 + -3 + 8w = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 8w = -5 + -3 8w = -5 + -3 Combine like terms: -5 + -3 = -8 8w = -8 Divide each side by '8'. w = -1 Simplifying w = -1
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