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Simplifying 11 + 5w = 8w + -4 Reorder the terms: 11 + 5w = -4 + 8w Solving 11 + 5w = -4 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 11 + 5w + -8w = -4 + 8w + -8w Combine like terms: 5w + -8w = -3w 11 + -3w = -4 + 8w + -8w Combine like terms: 8w + -8w = 0 11 + -3w = -4 + 0 11 + -3w = -4 Add '-11' to each side of the equation. 11 + -11 + -3w = -4 + -11 Combine like terms: 11 + -11 = 0 0 + -3w = -4 + -11 -3w = -4 + -11 Combine like terms: -4 + -11 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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