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Simplifying 2(3v + -5) = 2(v + -11) + -4 Reorder the terms: 2(-5 + 3v) = 2(v + -11) + -4 (-5 * 2 + 3v * 2) = 2(v + -11) + -4 (-10 + 6v) = 2(v + -11) + -4 Reorder the terms: -10 + 6v = 2(-11 + v) + -4 -10 + 6v = (-11 * 2 + v * 2) + -4 -10 + 6v = (-22 + 2v) + -4 Reorder the terms: -10 + 6v = -22 + -4 + 2v Combine like terms: -22 + -4 = -26 -10 + 6v = -26 + 2v Solving -10 + 6v = -26 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -10 + 6v + -2v = -26 + 2v + -2v Combine like terms: 6v + -2v = 4v -10 + 4v = -26 + 2v + -2v Combine like terms: 2v + -2v = 0 -10 + 4v = -26 + 0 -10 + 4v = -26 Add '10' to each side of the equation. -10 + 10 + 4v = -26 + 10 Combine like terms: -10 + 10 = 0 0 + 4v = -26 + 10 4v = -26 + 10 Combine like terms: -26 + 10 = -16 4v = -16 Divide each side by '4'. v = -4 Simplifying v = -4
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