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Simplifying 7(2w) + 2(1w + 3) = 0 Remove parenthesis around (2w) 7 * 2w + 2(1w + 3) = 0 Multiply 7 * 2 14w + 2(1w + 3) = 0 Reorder the terms: 14w + 2(3 + 1w) = 0 14w + (3 * 2 + 1w * 2) = 0 14w + (6 + 2w) = 0 Reorder the terms: 6 + 14w + 2w = 0 Combine like terms: 14w + 2w = 16w 6 + 16w = 0 Solving 6 + 16w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 16w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 16w = 0 + -6 16w = 0 + -6 Combine like terms: 0 + -6 = -6 16w = -6 Divide each side by '16'. w = -0.375 Simplifying w = -0.375
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