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Simplifying -5(-4 + 2v) = -5(v + -2) (-4 * -5 + 2v * -5) = -5(v + -2) (20 + -10v) = -5(v + -2) Reorder the terms: 20 + -10v = -5(-2 + v) 20 + -10v = (-2 * -5 + v * -5) 20 + -10v = (10 + -5v) Solving 20 + -10v = 10 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 20 + -10v + 5v = 10 + -5v + 5v Combine like terms: -10v + 5v = -5v 20 + -5v = 10 + -5v + 5v Combine like terms: -5v + 5v = 0 20 + -5v = 10 + 0 20 + -5v = 10 Add '-20' to each side of the equation. 20 + -20 + -5v = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -5v = 10 + -20 -5v = 10 + -20 Combine like terms: 10 + -20 = -10 -5v = -10 Divide each side by '-5'. v = 2 Simplifying v = 2
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