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Simplifying w + 9 + -3(-5w + -1) = 2(w + -3) Reorder the terms: w + 9 + -3(-1 + -5w) = 2(w + -3) w + 9 + (-1 * -3 + -5w * -3) = 2(w + -3) w + 9 + (3 + 15w) = 2(w + -3) Reorder the terms: 9 + 3 + w + 15w = 2(w + -3) Combine like terms: 9 + 3 = 12 12 + w + 15w = 2(w + -3) Combine like terms: w + 15w = 16w 12 + 16w = 2(w + -3) Reorder the terms: 12 + 16w = 2(-3 + w) 12 + 16w = (-3 * 2 + w * 2) 12 + 16w = (-6 + 2w) Solving 12 + 16w = -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. 12 + 16w + -2w = -6 + 2w + -2w Combine like terms: 16w + -2w = 14w 12 + 14w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + 14w = -6 + 0 12 + 14w = -6 Add '-12' to each side of the equation. 12 + -12 + 14w = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 14w = -6 + -12 14w = -6 + -12 Combine like terms: -6 + -12 = -18 14w = -18 Divide each side by '14'. w = -1.285714286 Simplifying w = -1.285714286
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