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Simplifying -5(1 + -5v) + 5(-8v + -2) = -4v + -8v (1 * -5 + -5v * -5) + 5(-8v + -2) = -4v + -8v (-5 + 25v) + 5(-8v + -2) = -4v + -8v Reorder the terms: -5 + 25v + 5(-2 + -8v) = -4v + -8v -5 + 25v + (-2 * 5 + -8v * 5) = -4v + -8v -5 + 25v + (-10 + -40v) = -4v + -8v Reorder the terms: -5 + -10 + 25v + -40v = -4v + -8v Combine like terms: -5 + -10 = -15 -15 + 25v + -40v = -4v + -8v Combine like terms: 25v + -40v = -15v -15 + -15v = -4v + -8v Combine like terms: -4v + -8v = -12v -15 + -15v = -12v Solving -15 + -15v = -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -15 + -15v + 12v = -12v + 12v Combine like terms: -15v + 12v = -3v -15 + -3v = -12v + 12v Combine like terms: -12v + 12v = 0 -15 + -3v = 0 Add '15' to each side of the equation. -15 + 15 + -3v = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3v = 0 + 15 -3v = 0 + 15 Combine like terms: 0 + 15 = 15 -3v = 15 Divide each side by '-3'. v = -5 Simplifying v = -5
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