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Simplifying 2(w + 7) = 7w + -11 Reorder the terms: 2(7 + w) = 7w + -11 (7 * 2 + w * 2) = 7w + -11 (14 + 2w) = 7w + -11 Reorder the terms: 14 + 2w = -11 + 7w Solving 14 + 2w = -11 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 14 + 2w + -7w = -11 + 7w + -7w Combine like terms: 2w + -7w = -5w 14 + -5w = -11 + 7w + -7w Combine like terms: 7w + -7w = 0 14 + -5w = -11 + 0 14 + -5w = -11 Add '-14' to each side of the equation. 14 + -14 + -5w = -11 + -14 Combine like terms: 14 + -14 = 0 0 + -5w = -11 + -14 -5w = -11 + -14 Combine like terms: -11 + -14 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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