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Simplifying 50 = 2(7 + -1w) 50 = (7 * 2 + -1w * 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 = -36 2w = -36 Divide each side by '2'. w = -18 Simplifying w = -18
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