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Simplifying 8w + 14 = 2(w + 7) Reorder the terms: 14 + 8w = 2(w + 7) Reorder the terms: 14 + 8w = 2(7 + w) 14 + 8w = (7 * 2 + w * 2) 14 + 8w = (14 + 2w) Add '-14' to each side of the equation. 14 + -14 + 8w = 14 + -14 + 2w Combine like terms: 14 + -14 = 0 0 + 8w = 14 + -14 + 2w 8w = 14 + -14 + 2w Combine like terms: 14 + -14 = 0 8w = 0 + 2w 8w = 2w Solving 8w = 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. 8w + -2w = 2w + -2w Combine like terms: 8w + -2w = 6w 6w = 2w + -2w Combine like terms: 2w + -2w = 0 6w = 0 Divide each side by '6'. w = 0 Simplifying w = 0
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