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Simplifying 50 = -2(w + 7) Reorder the terms: 50 = -2(7 + w) 50 = (7 * -2 + w * -2) 50 = (-14 + -2w) Solving 50 = -14 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 50 + 2w = -14 + -2w + 2w Combine like terms: -2w + 2w = 0 50 + 2w = -14 + 0 50 + 2w = -14 Add '-50' to each side of the equation. 50 + -50 + 2w = -14 + -50 Combine like terms: 50 + -50 = 0 0 + 2w = -14 + -50 2w = -14 + -50 Combine like terms: -14 + -50 = -64 2w = -64 Divide each side by '2'. w = -32 Simplifying w = -32
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