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Simplifying 5(v + -4) = 3v + -8 Reorder the terms: 5(-4 + v) = 3v + -8 (-4 * 5 + v * 5) = 3v + -8 (-20 + 5v) = 3v + -8 Reorder the terms: -20 + 5v = -8 + 3v Solving -20 + 5v = -8 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -20 + 5v + -3v = -8 + 3v + -3v Combine like terms: 5v + -3v = 2v -20 + 2v = -8 + 3v + -3v Combine like terms: 3v + -3v = 0 -20 + 2v = -8 + 0 -20 + 2v = -8 Add '20' to each side of the equation. -20 + 20 + 2v = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 2v = -8 + 20 2v = -8 + 20 Combine like terms: -8 + 20 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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