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Simplifying -6(2w + -4) + 2w = 4(w + 9) Reorder the terms: -6(-4 + 2w) + 2w = 4(w + 9) (-4 * -6 + 2w * -6) + 2w = 4(w + 9) (24 + -12w) + 2w = 4(w + 9) Combine like terms: -12w + 2w = -10w 24 + -10w = 4(w + 9) Reorder the terms: 24 + -10w = 4(9 + w) 24 + -10w = (9 * 4 + w * 4) 24 + -10w = (36 + 4w) Solving 24 + -10w = 36 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 24 + -10w + -4w = 36 + 4w + -4w Combine like terms: -10w + -4w = -14w 24 + -14w = 36 + 4w + -4w Combine like terms: 4w + -4w = 0 24 + -14w = 36 + 0 24 + -14w = 36 Add '-24' to each side of the equation. 24 + -24 + -14w = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -14w = 36 + -24 -14w = 36 + -24 Combine like terms: 36 + -24 = 12 -14w = 12 Divide each side by '-14'. w = -0.8571428571 Simplifying w = -0.8571428571
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