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Simplifying -5w + 2(w + 7) = 35 Reorder the terms: -5w + 2(7 + w) = 35 -5w + (7 * 2 + w * 2) = 35 -5w + (14 + 2w) = 35 Reorder the terms: 14 + -5w + 2w = 35 Combine like terms: -5w + 2w = -3w 14 + -3w = 35 Solving 14 + -3w = 35 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3w = 35 + -14 Combine like terms: 14 + -14 = 0 0 + -3w = 35 + -14 -3w = 35 + -14 Combine like terms: 35 + -14 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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