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Simplifying -5(3 + v) + -8 = -38 + -2v (3 * -5 + v * -5) + -8 = -38 + -2v (-15 + -5v) + -8 = -38 + -2v Reorder the terms: -15 + -8 + -5v = -38 + -2v Combine like terms: -15 + -8 = -23 -23 + -5v = -38 + -2v Solving -23 + -5v = -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. -23 + -5v + 2v = -38 + -2v + 2v Combine like terms: -5v + 2v = -3v -23 + -3v = -38 + -2v + 2v Combine like terms: -2v + 2v = 0 -23 + -3v = -38 + 0 -23 + -3v = -38 Add '23' to each side of the equation. -23 + 23 + -3v = -38 + 23 Combine like terms: -23 + 23 = 0 0 + -3v = -38 + 23 -3v = -38 + 23 Combine like terms: -38 + 23 = -15 -3v = -15 Divide each side by '-3'. v = 5 Simplifying v = 5
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