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Simplifying w + 3(5w + 1) + 12 = 0 Reorder the terms: w + 3(1 + 5w) + 12 = 0 w + (1 * 3 + 5w * 3) + 12 = 0 w + (3 + 15w) + 12 = 0 Reorder the terms: 3 + 12 + w + 15w = 0 Combine like terms: 3 + 12 = 15 15 + w + 15w = 0 Combine like terms: w + 15w = 16w 15 + 16w = 0 Solving 15 + 16w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 16w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 16w = 0 + -15 16w = 0 + -15 Combine like terms: 0 + -15 = -15 16w = -15 Divide each side by '16'. w = -0.9375 Simplifying w = -0.9375
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