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Simplifying -5(-2 + 4v) + 5 = -5v (-2 * -5 + 4v * -5) + 5 = -5v (10 + -20v) + 5 = -5v Reorder the terms: 10 + 5 + -20v = -5v Combine like terms: 10 + 5 = 15 15 + -20v = -5v Solving 15 + -20v = -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. 15 + -20v + 5v = -5v + 5v Combine like terms: -20v + 5v = -15v 15 + -15v = -5v + 5v Combine like terms: -5v + 5v = 0 15 + -15v = 0 Add '-15' to each side of the equation. 15 + -15 + -15v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -15v = 0 + -15 -15v = 0 + -15 Combine like terms: 0 + -15 = -15 -15v = -15 Divide each side by '-15'. v = 1 Simplifying v = 1
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