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Simplifying 5.8 + 3.2w + -2.4w + 1.4 = 0 Reorder the terms: 5.8 + 1.4 + 3.2w + -2.4w = 0 Combine like terms: 5.8 + 1.4 = 7.2 7.2 + 3.2w + -2.4w = 0 Combine like terms: 3.2w + -2.4w = 0.8w 7.2 + 0.8w = 0 Solving 7.2 + 0.8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7.2' to each side of the equation. 7.2 + -7.2 + 0.8w = 0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 0.8w = 0 + -7.2 0.8w = 0 + -7.2 Combine like terms: 0 + -7.2 = -7.2 0.8w = -7.2 Divide each side by '0.8'. w = -9 Simplifying w = -9
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