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Simplifying 11 = 2(3w + -5) + 2w Reorder the terms: 11 = 2(-5 + 3w) + 2w 11 = (-5 * 2 + 3w * 2) + 2w 11 = (-10 + 6w) + 2w Combine like terms: 6w + 2w = 8w 11 = -10 + 8w Solving 11 = -10 + 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 + -8w = -10 + 8w + -8w Combine like terms: 8w + -8w = 0 11 + -8w = -10 + 0 11 + -8w = -10 Add '-11' to each side of the equation. 11 + -11 + -8w = -10 + -11 Combine like terms: 11 + -11 = 0 0 + -8w = -10 + -11 -8w = -10 + -11 Combine like terms: -10 + -11 = -21 -8w = -21 Divide each side by '-8'. w = 2.625 Simplifying w = 2.625
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