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Simplifying 14 = -5w + 3(w + 4) Reorder the terms: 14 = -5w + 3(4 + w) 14 = -5w + (4 * 3 + w * 3) 14 = -5w + (12 + 3w) Reorder the terms: 14 = 12 + -5w + 3w Combine like terms: -5w + 3w = -2w 14 = 12 + -2w Solving 14 = 12 + -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 = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 14 + 2w = 12 + 0 14 + 2w = 12 Add '-14' to each side of the equation. 14 + -14 + 2w = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = 12 + -14 2w = 12 + -14 Combine like terms: 12 + -14 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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