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Simplifying 7w + 11 = 8 + -5w Reorder the terms: 11 + 7w = 8 + -5w Solving 11 + 7w = 8 + -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 + 7w + 5w = 8 + -5w + 5w Combine like terms: 7w + 5w = 12w 11 + 12w = 8 + -5w + 5w Combine like terms: -5w + 5w = 0 11 + 12w = 8 + 0 11 + 12w = 8 Add '-11' to each side of the equation. 11 + -11 + 12w = 8 + -11 Combine like terms: 11 + -11 = 0 0 + 12w = 8 + -11 12w = 8 + -11 Combine like terms: 8 + -11 = -3 12w = -3 Divide each side by '12'. w = -0.25 Simplifying w = -0.25
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