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Simplifying 2v + -10v = 6(2v + 4) + -12(2 + 5v) Combine like terms: 2v + -10v = -8v -8v = 6(2v + 4) + -12(2 + 5v) Reorder the terms: -8v = 6(4 + 2v) + -12(2 + 5v) -8v = (4 * 6 + 2v * 6) + -12(2 + 5v) -8v = (24 + 12v) + -12(2 + 5v) -8v = 24 + 12v + (2 * -12 + 5v * -12) -8v = 24 + 12v + (-24 + -60v) Reorder the terms: -8v = 24 + -24 + 12v + -60v Combine like terms: 24 + -24 = 0 -8v = 0 + 12v + -60v -8v = 12v + -60v Combine like terms: 12v + -60v = -48v -8v = -48v Solving -8v = -48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '48v' to each side of the equation. -8v + 48v = -48v + 48v Combine like terms: -8v + 48v = 40v 40v = -48v + 48v Combine like terms: -48v + 48v = 0 40v = 0 Divide each side by '40'. v = 0.0 Simplifying v = 0.0
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