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Simplifying -14 = 3(w + 2) + -8w Reorder the terms: -14 = 3(2 + w) + -8w -14 = (2 * 3 + w * 3) + -8w -14 = (6 + 3w) + -8w Combine like terms: 3w + -8w = -5w -14 = 6 + -5w Solving -14 = 6 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -14 + 5w = 6 + -5w + 5w Combine like terms: -5w + 5w = 0 -14 + 5w = 6 + 0 -14 + 5w = 6 Add '14' to each side of the equation. -14 + 14 + 5w = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 5w = 6 + 14 5w = 6 + 14 Combine like terms: 6 + 14 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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