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Simplifying 4(v + -5) = 2v + -16 Reorder the terms: 4(-5 + v) = 2v + -16 (-5 * 4 + v * 4) = 2v + -16 (-20 + 4v) = 2v + -16 Reorder the terms: -20 + 4v = -16 + 2v Solving -20 + 4v = -16 + 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. -20 + 4v + -2v = -16 + 2v + -2v Combine like terms: 4v + -2v = 2v -20 + 2v = -16 + 2v + -2v Combine like terms: 2v + -2v = 0 -20 + 2v = -16 + 0 -20 + 2v = -16 Add '20' to each side of the equation. -20 + 20 + 2v = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 2v = -16 + 20 2v = -16 + 20 Combine like terms: -16 + 20 = 4 2v = 4 Divide each side by '2'. v = 2 Simplifying v = 2
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