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Simplifying 3.8w + 3.2 = 2.4(w + 4) Reorder the terms: 3.2 + 3.8w = 2.4(w + 4) Reorder the terms: 3.2 + 3.8w = 2.4(4 + w) 3.2 + 3.8w = (4 * 2.4 + w * 2.4) 3.2 + 3.8w = (9.6 + 2.4w) Solving 3.2 + 3.8w = 9.6 + 2.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.4w' to each side of the equation. 3.2 + 3.8w + -2.4w = 9.6 + 2.4w + -2.4w Combine like terms: 3.8w + -2.4w = 1.4w 3.2 + 1.4w = 9.6 + 2.4w + -2.4w Combine like terms: 2.4w + -2.4w = 0.0 3.2 + 1.4w = 9.6 + 0.0 3.2 + 1.4w = 9.6 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 1.4w = 9.6 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 1.4w = 9.6 + -3.2 1.4w = 9.6 + -3.2 Combine like terms: 9.6 + -3.2 = 6.4 1.4w = 6.4 Divide each side by '1.4'. w = 4.571428571 Simplifying w = 4.571428571
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