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Simplifying 7(w + 5) = -3 + -45 Reorder the terms: 7(5 + w) = -3 + -45 (5 * 7 + w * 7) = -3 + -45 (35 + 7w) = -3 + -45 Combine like terms: -3 + -45 = -48 35 + 7w = -48 Solving 35 + 7w = -48 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 7w = -48 + -35 Combine like terms: 35 + -35 = 0 0 + 7w = -48 + -35 7w = -48 + -35 Combine like terms: -48 + -35 = -83 7w = -83 Divide each side by '7'. w = -11.85714286 Simplifying w = -11.85714286
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