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Simplifying -2(w + 4) + 7 = -11 Reorder the terms: -2(4 + w) + 7 = -11 (4 * -2 + w * -2) + 7 = -11 (-8 + -2w) + 7 = -11 Reorder the terms: -8 + 7 + -2w = -11 Combine like terms: -8 + 7 = -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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