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Simplifying 4v + 38 = 2(v + -1) Reorder the terms: 38 + 4v = 2(v + -1) Reorder the terms: 38 + 4v = 2(-1 + v) 38 + 4v = (-1 * 2 + v * 2) 38 + 4v = (-2 + 2v) Solving 38 + 4v = -2 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 38 + 4v + -2v = -2 + 2v + -2v Combine like terms: 4v + -2v = 2v 38 + 2v = -2 + 2v + -2v Combine like terms: 2v + -2v = 0 38 + 2v = -2 + 0 38 + 2v = -2 Add '-38' to each side of the equation. 38 + -38 + 2v = -2 + -38 Combine like terms: 38 + -38 = 0 0 + 2v = -2 + -38 2v = -2 + -38 Combine like terms: -2 + -38 = -40 2v = -40 Divide each side by '2'. v = -20 Simplifying v = -20
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