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Simplifying 7v + 38 = 4(v + 5) Reorder the terms: 38 + 7v = 4(v + 5) Reorder the terms: 38 + 7v = 4(5 + v) 38 + 7v = (5 * 4 + v * 4) 38 + 7v = (20 + 4v) Solving 38 + 7v = 20 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 38 + 7v + -4v = 20 + 4v + -4v Combine like terms: 7v + -4v = 3v 38 + 3v = 20 + 4v + -4v Combine like terms: 4v + -4v = 0 38 + 3v = 20 + 0 38 + 3v = 20 Add '-38' to each side of the equation. 38 + -38 + 3v = 20 + -38 Combine like terms: 38 + -38 = 0 0 + 3v = 20 + -38 3v = 20 + -38 Combine like terms: 20 + -38 = -18 3v = -18 Divide each side by '3'. v = -6 Simplifying v = -6
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