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Simplifying 2w + 5(1 + w) = 0 2w + (1 * 5 + w * 5) = 0 2w + (5 + 5w) = 0 Reorder the terms: 5 + 2w + 5w = 0 Combine like terms: 2w + 5w = 7w 5 + 7w = 0 Solving 5 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7w = 0 + -5 7w = 0 + -5 Combine like terms: 0 + -5 = -5 7w = -5 Divide each side by '7'. w = -0.7142857143 Simplifying w = -0.7142857143
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