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Simplifying -5w + 2 = 8w + -11 Reorder the terms: 2 + -5w = 8w + -11 Reorder the terms: 2 + -5w = -11 + 8w Solving 2 + -5w = -11 + 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. 2 + -5w + -8w = -11 + 8w + -8w Combine like terms: -5w + -8w = -13w 2 + -13w = -11 + 8w + -8w Combine like terms: 8w + -8w = 0 2 + -13w = -11 + 0 2 + -13w = -11 Add '-2' to each side of the equation. 2 + -2 + -13w = -11 + -2 Combine like terms: 2 + -2 = 0 0 + -13w = -11 + -2 -13w = -11 + -2 Combine like terms: -11 + -2 = -13 -13w = -13 Divide each side by '-13'. w = 1 Simplifying w = 1
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