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Simplifying 27 = -7w + 5(w + 7) Reorder the terms: 27 = -7w + 5(7 + w) 27 = -7w + (7 * 5 + w * 5) 27 = -7w + (35 + 5w) Reorder the terms: 27 = 35 + -7w + 5w Combine like terms: -7w + 5w = -2w 27 = 35 + -2w Solving 27 = 35 + -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. 27 + 2w = 35 + -2w + 2w Combine like terms: -2w + 2w = 0 27 + 2w = 35 + 0 27 + 2w = 35 Add '-27' to each side of the equation. 27 + -27 + 2w = 35 + -27 Combine like terms: 27 + -27 = 0 0 + 2w = 35 + -27 2w = 35 + -27 Combine like terms: 35 + -27 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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