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Simplifying 9 + 5(2w + -1) = -3(2w + -2) + 2w Reorder the terms: 9 + 5(-1 + 2w) = -3(2w + -2) + 2w 9 + (-1 * 5 + 2w * 5) = -3(2w + -2) + 2w 9 + (-5 + 10w) = -3(2w + -2) + 2w Combine like terms: 9 + -5 = 4 4 + 10w = -3(2w + -2) + 2w Reorder the terms: 4 + 10w = -3(-2 + 2w) + 2w 4 + 10w = (-2 * -3 + 2w * -3) + 2w 4 + 10w = (6 + -6w) + 2w Combine like terms: -6w + 2w = -4w 4 + 10w = 6 + -4w Solving 4 + 10w = 6 + -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. 4 + 10w + 4w = 6 + -4w + 4w Combine like terms: 10w + 4w = 14w 4 + 14w = 6 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + 14w = 6 + 0 4 + 14w = 6 Add '-4' to each side of the equation. 4 + -4 + 14w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 14w = 6 + -4 14w = 6 + -4 Combine like terms: 6 + -4 = 2 14w = 2 Divide each side by '14'. w = 0.1428571429 Simplifying w = 0.1428571429
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