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Simplifying -2(9w + -6) + 6w = 2(w + 5) Reorder the terms: -2(-6 + 9w) + 6w = 2(w + 5) (-6 * -2 + 9w * -2) + 6w = 2(w + 5) (12 + -18w) + 6w = 2(w + 5) Combine like terms: -18w + 6w = -12w 12 + -12w = 2(w + 5) Reorder the terms: 12 + -12w = 2(5 + w) 12 + -12w = (5 * 2 + w * 2) 12 + -12w = (10 + 2w) Solving 12 + -12w = 10 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 12 + -12w + -2w = 10 + 2w + -2w Combine like terms: -12w + -2w = -14w 12 + -14w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + -14w = 10 + 0 12 + -14w = 10 Add '-12' to each side of the equation. 12 + -12 + -14w = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -14w = 10 + -12 -14w = 10 + -12 Combine like terms: 10 + -12 = -2 -14w = -2 Divide each side by '-14'. w = 0.1428571429 Simplifying w = 0.1428571429
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