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Simplifying 5w + -7 + 3(3w + 5) = -2(w + 3) Reorder the terms: 5w + -7 + 3(5 + 3w) = -2(w + 3) 5w + -7 + (5 * 3 + 3w * 3) = -2(w + 3) 5w + -7 + (15 + 9w) = -2(w + 3) Reorder the terms: -7 + 15 + 5w + 9w = -2(w + 3) Combine like terms: -7 + 15 = 8 8 + 5w + 9w = -2(w + 3) Combine like terms: 5w + 9w = 14w 8 + 14w = -2(w + 3) Reorder the terms: 8 + 14w = -2(3 + w) 8 + 14w = (3 * -2 + w * -2) 8 + 14w = (-6 + -2w) Solving 8 + 14w = -6 + -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. 8 + 14w + 2w = -6 + -2w + 2w Combine like terms: 14w + 2w = 16w 8 + 16w = -6 + -2w + 2w Combine like terms: -2w + 2w = 0 8 + 16w = -6 + 0 8 + 16w = -6 Add '-8' to each side of the equation. 8 + -8 + 16w = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 16w = -6 + -8 16w = -6 + -8 Combine like terms: -6 + -8 = -14 16w = -14 Divide each side by '16'. w = -0.875 Simplifying w = -0.875
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