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Simplifying 5 + 2(5w + 3) + -1w = 0 Reorder the terms: 5 + 2(3 + 5w) + -1w = 0 5 + (3 * 2 + 5w * 2) + -1w = 0 5 + (6 + 10w) + -1w = 0 Combine like terms: 5 + 6 = 11 11 + 10w + -1w = 0 Combine like terms: 10w + -1w = 9w 11 + 9w = 0 Solving 11 + 9w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9w = 0 + -11 9w = 0 + -11 Combine like terms: 0 + -11 = -11 9w = -11 Divide each side by '9'. w = -1.222222222 Simplifying w = -1.222222222
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