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Simplifying 2v + -38 = -4(v + 2) Reorder the terms: -38 + 2v = -4(v + 2) Reorder the terms: -38 + 2v = -4(2 + v) -38 + 2v = (2 * -4 + v * -4) -38 + 2v = (-8 + -4v) Solving -38 + 2v = -8 + -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 + 2v + 4v = -8 + -4v + 4v Combine like terms: 2v + 4v = 6v -38 + 6v = -8 + -4v + 4v Combine like terms: -4v + 4v = 0 -38 + 6v = -8 + 0 -38 + 6v = -8 Add '38' to each side of the equation. -38 + 38 + 6v = -8 + 38 Combine like terms: -38 + 38 = 0 0 + 6v = -8 + 38 6v = -8 + 38 Combine like terms: -8 + 38 = 30 6v = 30 Divide each side by '6'. v = 5 Simplifying v = 5
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