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Simplifying -5(-1w + 1) + 3(2w + 3) = 2w + 8 + -5w Reorder the terms: -5(1 + -1w) + 3(2w + 3) = 2w + 8 + -5w (1 * -5 + -1w * -5) + 3(2w + 3) = 2w + 8 + -5w (-5 + 5w) + 3(2w + 3) = 2w + 8 + -5w Reorder the terms: -5 + 5w + 3(3 + 2w) = 2w + 8 + -5w -5 + 5w + (3 * 3 + 2w * 3) = 2w + 8 + -5w -5 + 5w + (9 + 6w) = 2w + 8 + -5w Reorder the terms: -5 + 9 + 5w + 6w = 2w + 8 + -5w Combine like terms: -5 + 9 = 4 4 + 5w + 6w = 2w + 8 + -5w Combine like terms: 5w + 6w = 11w 4 + 11w = 2w + 8 + -5w Reorder the terms: 4 + 11w = 8 + 2w + -5w Combine like terms: 2w + -5w = -3w 4 + 11w = 8 + -3w Solving 4 + 11w = 8 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 4 + 11w + 3w = 8 + -3w + 3w Combine like terms: 11w + 3w = 14w 4 + 14w = 8 + -3w + 3w Combine like terms: -3w + 3w = 0 4 + 14w = 8 + 0 4 + 14w = 8 Add '-4' to each side of the equation. 4 + -4 + 14w = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 14w = 8 + -4 14w = 8 + -4 Combine like terms: 8 + -4 = 4 14w = 4 Divide each side by '14'. w = 0.2857142857 Simplifying w = 0.2857142857
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