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Simplifying 7 + -4w + 2(5w + 8) = 0 Reorder the terms: 7 + -4w + 2(8 + 5w) = 0 7 + -4w + (8 * 2 + 5w * 2) = 0 7 + -4w + (16 + 10w) = 0 Reorder the terms: 7 + 16 + -4w + 10w = 0 Combine like terms: 7 + 16 = 23 23 + -4w + 10w = 0 Combine like terms: -4w + 10w = 6w 23 + 6w = 0 Solving 23 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 6w = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 6w = 0 + -23 6w = 0 + -23 Combine like terms: 0 + -23 = -23 6w = -23 Divide each side by '6'. w = -3.833333333 Simplifying w = -3.833333333
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