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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 = 6v 38 + 6v = 2 + -2v + 2v Combine like terms: -2v + 2v = 0 38 + 6v = 2 + 0 38 + 6v = 2 Add '-38' to each side of the equation. 38 + -38 + 6v = 2 + -38 Combine like terms: 38 + -38 = 0 0 + 6v = 2 + -38 6v = 2 + -38 Combine like terms: 2 + -38 = -36 6v = -36 Divide each side by '6'. v = -6 Simplifying v = -6
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