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Simplifying 2(5 + -2v) = -5(v + -5) (5 * 2 + -2v * 2) = -5(v + -5) (10 + -4v) = -5(v + -5) Reorder the terms: 10 + -4v = -5(-5 + v) 10 + -4v = (-5 * -5 + v * -5) 10 + -4v = (25 + -5v) Solving 10 + -4v = 25 + -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. 10 + -4v + 5v = 25 + -5v + 5v Combine like terms: -4v + 5v = 1v 10 + 1v = 25 + -5v + 5v Combine like terms: -5v + 5v = 0 10 + 1v = 25 + 0 10 + 1v = 25 Add '-10' to each side of the equation. 10 + -10 + 1v = 25 + -10 Combine like terms: 10 + -10 = 0 0 + 1v = 25 + -10 1v = 25 + -10 Combine like terms: 25 + -10 = 15 1v = 15 Divide each side by '1'. v = 15 Simplifying v = 15
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