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Simplifying -4(v + 8) = -38 + -2v Reorder the terms: -4(8 + v) = -38 + -2v (8 * -4 + v * -4) = -38 + -2v (-32 + -4v) = -38 + -2v Solving -32 + -4v = -38 + -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. -32 + -4v + 2v = -38 + -2v + 2v Combine like terms: -4v + 2v = -2v -32 + -2v = -38 + -2v + 2v Combine like terms: -2v + 2v = 0 -32 + -2v = -38 + 0 -32 + -2v = -38 Add '32' to each side of the equation. -32 + 32 + -2v = -38 + 32 Combine like terms: -32 + 32 = 0 0 + -2v = -38 + 32 -2v = -38 + 32 Combine like terms: -38 + 32 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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