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Simplifying 2(w + 3) + 5(w + 2) = 0 Reorder the terms: 2(3 + w) + 5(w + 2) = 0 (3 * 2 + w * 2) + 5(w + 2) = 0 (6 + 2w) + 5(w + 2) = 0 Reorder the terms: 6 + 2w + 5(2 + w) = 0 6 + 2w + (2 * 5 + w * 5) = 0 6 + 2w + (10 + 5w) = 0 Reorder the terms: 6 + 10 + 2w + 5w = 0 Combine like terms: 6 + 10 = 16 16 + 2w + 5w = 0 Combine like terms: 2w + 5w = 7w 16 + 7w = 0 Solving 16 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 7w = 0 + -16 7w = 0 + -16 Combine like terms: 0 + -16 = -16 7w = -16 Divide each side by '7'. w = -2.285714286 Simplifying w = -2.285714286
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