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Simplifying 5w + -3 + 2(2w + 7) = -5(w + 1) Reorder the terms: 5w + -3 + 2(7 + 2w) = -5(w + 1) 5w + -3 + (7 * 2 + 2w * 2) = -5(w + 1) 5w + -3 + (14 + 4w) = -5(w + 1) Reorder the terms: -3 + 14 + 5w + 4w = -5(w + 1) Combine like terms: -3 + 14 = 11 11 + 5w + 4w = -5(w + 1) Combine like terms: 5w + 4w = 9w 11 + 9w = -5(w + 1) Reorder the terms: 11 + 9w = -5(1 + w) 11 + 9w = (1 * -5 + w * -5) 11 + 9w = (-5 + -5w) Solving 11 + 9w = -5 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 11 + 9w + 5w = -5 + -5w + 5w Combine like terms: 9w + 5w = 14w 11 + 14w = -5 + -5w + 5w Combine like terms: -5w + 5w = 0 11 + 14w = -5 + 0 11 + 14w = -5 Add '-11' to each side of the equation. 11 + -11 + 14w = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 14w = -5 + -11 14w = -5 + -11 Combine like terms: -5 + -11 = -16 14w = -16 Divide each side by '14'. w = -1.142857143 Simplifying w = -1.142857143
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