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Simplifying 5.2w + 9 + -3.8w = 7 Reorder the terms: 9 + 5.2w + -3.8w = 7 Combine like terms: 5.2w + -3.8w = 1.4w 9 + 1.4w = 7 Solving 9 + 1.4w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1.4w = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 1.4w = 7 + -9 1.4w = 7 + -9 Combine like terms: 7 + -9 = -2 1.4w = -2 Divide each side by '1.4'. w = -1.428571429 Simplifying w = -1.428571429
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