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Simplifying 5(v + -4) = 2v + -5 Reorder the terms: 5(-4 + v) = 2v + -5 (-4 * 5 + v * 5) = 2v + -5 (-20 + 5v) = 2v + -5 Reorder the terms: -20 + 5v = -5 + 2v Solving -20 + 5v = -5 + 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 + 5v + -2v = -5 + 2v + -2v Combine like terms: 5v + -2v = 3v -20 + 3v = -5 + 2v + -2v Combine like terms: 2v + -2v = 0 -20 + 3v = -5 + 0 -20 + 3v = -5 Add '20' to each side of the equation. -20 + 20 + 3v = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 3v = -5 + 20 3v = -5 + 20 Combine like terms: -5 + 20 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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