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Simplifying -2v + 38 = -5(v + -4) Reorder the terms: 38 + -2v = -5(v + -4) Reorder the terms: 38 + -2v = -5(-4 + v) 38 + -2v = (-4 * -5 + v * -5) 38 + -2v = (20 + -5v) Solving 38 + -2v = 20 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 38 + -2v + 5v = 20 + -5v + 5v Combine like terms: -2v + 5v = 3v 38 + 3v = 20 + -5v + 5v Combine like terms: -5v + 5v = 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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