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Simplifying -2(5 + -3v) = 5 + 3v (5 * -2 + -3v * -2) = 5 + 3v (-10 + 6v) = 5 + 3v Solving -10 + 6v = 5 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -10 + 6v + -3v = 5 + 3v + -3v Combine like terms: 6v + -3v = 3v -10 + 3v = 5 + 3v + -3v Combine like terms: 3v + -3v = 0 -10 + 3v = 5 + 0 -10 + 3v = 5 Add '10' to each side of the equation. -10 + 10 + 3v = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 3v = 5 + 10 3v = 5 + 10 Combine like terms: 5 + 10 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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