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Simplifying -2(w + 4) + 9 = 11 Reorder the terms: -2(4 + w) + 9 = 11 (4 * -2 + w * -2) + 9 = 11 (-8 + -2w) + 9 = 11 Reorder the terms: -8 + 9 + -2w = 11 Combine like terms: -8 + 9 = 1 1 + -2w = 11 Solving 1 + -2w = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2w = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = 11 + -1 -2w = 11 + -1 Combine like terms: 11 + -1 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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