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