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Simplifying 14 = 6(w + 5) + -8w Reorder the terms: 14 = 6(5 + w) + -8w 14 = (5 * 6 + w * 6) + -8w 14 = (30 + 6w) + -8w Combine like terms: 6w + -8w = -2w 14 = 30 + -2w Solving 14 = 30 + -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 = 30 + -2w + 2w Combine like terms: -2w + 2w = 0 14 + 2w = 30 + 0 14 + 2w = 30 Add '-14' to each side of the equation. 14 + -14 + 2w = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = 30 + -14 2w = 30 + -14 Combine like terms: 30 + -14 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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