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Simplifying 7(w + 5) + -9w = 0 Reorder the terms: 7(5 + w) + -9w = 0 (5 * 7 + w * 7) + -9w = 0 (35 + 7w) + -9w = 0 Combine like terms: 7w + -9w = -2w 35 + -2w = 0 Solving 35 + -2w = 0 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 + -2w = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -2w = 0 + -35 -2w = 0 + -35 Combine like terms: 0 + -35 = -35 -2w = -35 Divide each side by '-2'. w = 17.5 Simplifying w = 17.5
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