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Simplifying 2(w + 9) = -14w + 10 + 6w Reorder the terms: 2(9 + w) = -14w + 10 + 6w (9 * 2 + w * 2) = -14w + 10 + 6w (18 + 2w) = -14w + 10 + 6w Reorder the terms: 18 + 2w = 10 + -14w + 6w Combine like terms: -14w + 6w = -8w 18 + 2w = 10 + -8w Solving 18 + 2w = 10 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 18 + 2w + 8w = 10 + -8w + 8w Combine like terms: 2w + 8w = 10w 18 + 10w = 10 + -8w + 8w Combine like terms: -8w + 8w = 0 18 + 10w = 10 + 0 18 + 10w = 10 Add '-18' to each side of the equation. 18 + -18 + 10w = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 10w = 10 + -18 10w = 10 + -18 Combine like terms: 10 + -18 = -8 10w = -8 Divide each side by '10'. w = -0.8 Simplifying w = -0.8
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