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Simplifying 2(w + 1) = -2(9w + -2) + 6w Reorder the terms: 2(1 + w) = -2(9w + -2) + 6w (1 * 2 + w * 2) = -2(9w + -2) + 6w (2 + 2w) = -2(9w + -2) + 6w Reorder the terms: 2 + 2w = -2(-2 + 9w) + 6w 2 + 2w = (-2 * -2 + 9w * -2) + 6w 2 + 2w = (4 + -18w) + 6w Combine like terms: -18w + 6w = -12w 2 + 2w = 4 + -12w Solving 2 + 2w = 4 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 2 + 2w + 12w = 4 + -12w + 12w Combine like terms: 2w + 12w = 14w 2 + 14w = 4 + -12w + 12w Combine like terms: -12w + 12w = 0 2 + 14w = 4 + 0 2 + 14w = 4 Add '-2' to each side of the equation. 2 + -2 + 14w = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 14w = 4 + -2 14w = 4 + -2 Combine like terms: 4 + -2 = 2 14w = 2 Divide each side by '14'. w = 0.1428571429 Simplifying w = 0.1428571429
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