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Simplifying 15w + 14 = 2(5w + 6) Reorder the terms: 14 + 15w = 2(5w + 6) Reorder the terms: 14 + 15w = 2(6 + 5w) 14 + 15w = (6 * 2 + 5w * 2) 14 + 15w = (12 + 10w) Solving 14 + 15w = 12 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 14 + 15w + -10w = 12 + 10w + -10w Combine like terms: 15w + -10w = 5w 14 + 5w = 12 + 10w + -10w Combine like terms: 10w + -10w = 0 14 + 5w = 12 + 0 14 + 5w = 12 Add '-14' to each side of the equation. 14 + -14 + 5w = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 5w = 12 + -14 5w = 12 + -14 Combine like terms: 12 + -14 = -2 5w = -2 Divide each side by '5'. w = -0.4 Simplifying w = -0.4
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