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Simplifying 7(4w + 7) = -50 Reorder the terms: 7(7 + 4w) = -50 (7 * 7 + 4w * 7) = -50 (49 + 28w) = -50 Solving 49 + 28w = -50 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 28w = -50 + -49 Combine like terms: 49 + -49 = 0 0 + 28w = -50 + -49 28w = -50 + -49 Combine like terms: -50 + -49 = -99 28w = -99 Divide each side by '28'. w = -3.535714286 Simplifying w = -3.535714286
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