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Simplifying -5(v + 4) = -1(3v + 2) Reorder the terms: -5(4 + v) = -1(3v + 2) (4 * -5 + v * -5) = -1(3v + 2) (-20 + -5v) = -1(3v + 2) Reorder the terms: -20 + -5v = -1(2 + 3v) -20 + -5v = (2 * -1 + 3v * -1) -20 + -5v = (-2 + -3v) Solving -20 + -5v = -2 + -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 = -2 + -3v + 3v Combine like terms: -5v + 3v = -2v -20 + -2v = -2 + -3v + 3v Combine like terms: -3v + 3v = 0 -20 + -2v = -2 + 0 -20 + -2v = -2 Add '20' to each side of the equation. -20 + 20 + -2v = -2 + 20 Combine like terms: -20 + 20 = 0 0 + -2v = -2 + 20 -2v = -2 + 20 Combine like terms: -2 + 20 = 18 -2v = 18 Divide each side by '-2'. v = -9 Simplifying v = -9
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