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Simplifying 14 = 2(w + 5) Reorder the terms: 14 = 2(5 + w) 14 = (5 * 2 + w * 2) 14 = (10 + 2w) Solving 14 = 10 + 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. 14 + -2w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 14 + -2w = 10 + 0 14 + -2w = 10 Add '-14' to each side of the equation. 14 + -14 + -2w = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -2w = 10 + -14 -2w = 10 + -14 Combine like terms: 10 + -14 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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