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Simplifying -2(7w + -2) + 2w = 2(w + 1) Reorder the terms: -2(-2 + 7w) + 2w = 2(w + 1) (-2 * -2 + 7w * -2) + 2w = 2(w + 1) (4 + -14w) + 2w = 2(w + 1) Combine like terms: -14w + 2w = -12w 4 + -12w = 2(w + 1) Reorder the terms: 4 + -12w = 2(1 + w) 4 + -12w = (1 * 2 + w * 2) 4 + -12w = (2 + 2w) Solving 4 + -12w = 2 + 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. 4 + -12w + -2w = 2 + 2w + -2w Combine like terms: -12w + -2w = -14w 4 + -14w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 4 + -14w = 2 + 0 4 + -14w = 2 Add '-4' to each side of the equation. 4 + -4 + -14w = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -14w = 2 + -4 -14w = 2 + -4 Combine like terms: 2 + -4 = -2 -14w = -2 Divide each side by '-14'. w = 0.1428571429 Simplifying w = 0.1428571429
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