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Simplifying w + 2(3 + 7w) = 5w w + (3 * 2 + 7w * 2) = 5w w + (6 + 14w) = 5w Reorder the terms: 6 + w + 14w = 5w Combine like terms: w + 14w = 15w 6 + 15w = 5w Solving 6 + 15w = 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. 6 + 15w + -5w = 5w + -5w Combine like terms: 15w + -5w = 10w 6 + 10w = 5w + -5w Combine like terms: 5w + -5w = 0 6 + 10w = 0 Add '-6' to each side of the equation. 6 + -6 + 10w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 10w = 0 + -6 10w = 0 + -6 Combine like terms: 0 + -6 = -6 10w = -6 Divide each side by '10'. w = -0.6 Simplifying w = -0.6
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