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