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Simplifying -5(w + -9) + 7w + 2 = 0 Reorder the terms: -5(-9 + w) + 7w + 2 = 0 (-9 * -5 + w * -5) + 7w + 2 = 0 (45 + -5w) + 7w + 2 = 0 Reorder the terms: 45 + 2 + -5w + 7w = 0 Combine like terms: 45 + 2 = 47 47 + -5w + 7w = 0 Combine like terms: -5w + 7w = 2w 47 + 2w = 0 Solving 47 + 2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 2w = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 2w = 0 + -47 2w = 0 + -47 Combine like terms: 0 + -47 = -47 2w = -47 Divide each side by '2'. w = -23.5 Simplifying w = -23.5
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