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Simplifying 7w + 38 = 4(v + 5) Reorder the terms: 38 + 7w = 4(v + 5) Reorder the terms: 38 + 7w = 4(5 + v) 38 + 7w = (5 * 4 + v * 4) 38 + 7w = (20 + 4v) Solving 38 + 7w = 20 + 4v Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 7w = 20 + -38 + 4v Combine like terms: 38 + -38 = 0 0 + 7w = 20 + -38 + 4v 7w = 20 + -38 + 4v Combine like terms: 20 + -38 = -18 7w = -18 + 4v Divide each side by '7'. w = -2.571428571 + 0.5714285714v Simplifying w = -2.571428571 + 0.5714285714v
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